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Finding the Fourth Proportional to 54,323.52, 74,952 and 31,347.52

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Solution

The fourth proportional to 54,323.52, 74,952 and 31,347.52 is: 43,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,323.52 : 74,952 = 31,347.52 : x
  2. Step 2: Convert to fraction form
    54,323.52/74,952 = 31,347.52/x
  3. Step 3: Cross multiply
    54,323.52x = 74,952 × 31,347.52
  4. Step 4: Simplify right side
    54,323.52x = 2,349,559,319.04
  5. Step 5: Solve for x
    x = 2,349,559,319.04/54,323.52
  6. Step 6: Final answer
    x = 43,251.23

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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.