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Finding the Fourth Proportional to 74,565.63, 102,897.54 and 42,712.38

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Solution

The fourth proportional to 74,565.63, 102,897.54 and 42,712.38 is: 58,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,565.63 : 102,897.54 = 42,712.38 : x
  2. Step 2: Convert to fraction form
    74,565.63/102,897.54 = 42,712.38/x
  3. Step 3: Cross multiply
    74,565.63x = 102,897.54 × 42,712.38
  4. Step 4: Simplify right side
    74,565.63x = 4,394,998,829.55
  5. Step 5: Solve for x
    x = 4,394,998,829.55/74,565.63
  6. Step 6: Final answer
    x = 58,941.35

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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.