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Finding the Fourth Proportional to 38,952, 53,762.16 and 24,801.60

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Solution

The fourth proportional to 38,952, 53,762.16 and 24,801.60 is: 34,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952 : 53,762.16 = 24,801.60 : x
  2. Step 2: Convert to fraction form
    38,952/53,762.16 = 24,801.60/x
  3. Step 3: Cross multiply
    38,952x = 53,762.16 × 24,801.60
  4. Step 4: Simplify right side
    38,952x = 1,333,387,587.46
  5. Step 5: Solve for x
    x = 1,333,387,587.46/38,952
  6. Step 6: Final answer
    x = 34,231.56

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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.