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Finding the Fourth Proportional to 53,908, 74,399.52 and 31,552

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Solution

The fourth proportional to 53,908, 74,399.52 and 31,552 is: 43,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,908 : 74,399.52 = 31,552 : x
  2. Step 2: Convert to fraction form
    53,908/74,399.52 = 31,552/x
  3. Step 3: Cross multiply
    53,908x = 74,399.52 × 31,552
  4. Step 4: Simplify right side
    53,908x = 2,347,453,655.04
  5. Step 5: Solve for x
    x = 2,347,453,655.04/53,908
  6. Step 6: Final answer
    x = 43,545.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.