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Finding the Fourth Proportional to 53,574, 73,932 and 32,349.12

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Solution

The fourth proportional to 53,574, 73,932 and 32,349.12 is: 44,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,574 : 73,932 = 32,349.12 : x
  2. Step 2: Convert to fraction form
    53,574/73,932 = 32,349.12/x
  3. Step 3: Cross multiply
    53,574x = 73,932 × 32,349.12
  4. Step 4: Simplify right side
    53,574x = 2,391,635,139.84
  5. Step 5: Solve for x
    x = 2,391,635,139.84/53,574
  6. Step 6: Final answer
    x = 44,641.71

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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.