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Finding the Fourth Proportional to 37,906.92, 56,870.10 and 14,535.18

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Solution

The fourth proportional to 37,906.92, 56,870.10 and 14,535.18 is: 21,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906.92 : 56,870.10 = 14,535.18 : x
  2. Step 2: Convert to fraction form
    37,906.92/56,870.10 = 14,535.18/x
  3. Step 3: Cross multiply
    37,906.92x = 56,870.10 × 14,535.18
  4. Step 4: Simplify right side
    37,906.92x = 826,617,140.12
  5. Step 5: Solve for x
    x = 826,617,140.12/37,906.92
  6. Step 6: Final answer
    x = 21,806.50

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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.