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Finding the Fourth Proportional to 52,304.64, 78,741.54 and 47,654.52

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Solution

The fourth proportional to 52,304.64, 78,741.54 and 47,654.52 is: 71,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304.64 : 78,741.54 = 47,654.52 : x
  2. Step 2: Convert to fraction form
    52,304.64/78,741.54 = 47,654.52/x
  3. Step 3: Cross multiply
    52,304.64x = 78,741.54 × 47,654.52
  4. Step 4: Simplify right side
    52,304.64x = 3,752,390,292.76
  5. Step 5: Solve for x
    x = 3,752,390,292.76/52,304.64
  6. Step 6: Final answer
    x = 71,741.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.