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Finding the Fourth Proportional to 52,130.70, 78,196.05 and 24,050.70

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Solution

The fourth proportional to 52,130.70, 78,196.05 and 24,050.70 is: 36,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130.70 : 78,196.05 = 24,050.70 : x
  2. Step 2: Convert to fraction form
    52,130.70/78,196.05 = 24,050.70/x
  3. Step 3: Cross multiply
    52,130.70x = 78,196.05 × 24,050.70
  4. Step 4: Simplify right side
    52,130.70x = 1,880,669,739.74
  5. Step 5: Solve for x
    x = 1,880,669,739.74/52,130.70
  6. Step 6: Final answer
    x = 36,076.05

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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.