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Finding the Fourth Proportional to 24,157,829.70, 36,236,744.55 and 8,201,477.70

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Solution

The fourth proportional to 24,157,829.70, 36,236,744.55 and 8,201,477.70 is: 12,302,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157,829.70 : 36,236,744.55 = 8,201,477.70 : x
  2. Step 2: Convert to fraction form
    24,157,829.70/36,236,744.55 = 8,201,477.70/x
  3. Step 3: Cross multiply
    24,157,829.70x = 36,236,744.55 × 8,201,477.70
  4. Step 4: Simplify right side
    24,157,829.70x = 297,194,852,347,421.50
  5. Step 5: Solve for x
    x = 297,194,852,347,421.50/24,157,829.70
  6. Step 6: Final answer
    x = 12,302,216.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.