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Finding the Fourth Proportional to 30,374.50, 45,565 and 12,846.10

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Solution

The fourth proportional to 30,374.50, 45,565 and 12,846.10 is: 19,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.50 : 45,565 = 12,846.10 : x
  2. Step 2: Convert to fraction form
    30,374.50/45,565 = 12,846.10/x
  3. Step 3: Cross multiply
    30,374.50x = 45,565 × 12,846.10
  4. Step 4: Simplify right side
    30,374.50x = 585,332,546.50
  5. Step 5: Solve for x
    x = 585,332,546.50/30,374.50
  6. Step 6: Final answer
    x = 19,270.52

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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.