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Finding the Fourth Proportional to 5,755,670.48, 7,942,842.42 and 3,142,178.66

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Solution

The fourth proportional to 5,755,670.48, 7,942,842.42 and 3,142,178.66 is: 4,336,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755,670.48 : 7,942,842.42 = 3,142,178.66 : x
  2. Step 2: Convert to fraction form
    5,755,670.48/7,942,842.42 = 3,142,178.66/x
  3. Step 3: Cross multiply
    5,755,670.48x = 7,942,842.42 × 3,142,178.66
  4. Step 4: Simplify right side
    5,755,670.48x = 24,957,829,951,866.76
  5. Step 5: Solve for x
    x = 24,957,829,951,866.76/5,755,670.48
  6. Step 6: Final answer
    x = 4,336,215.92

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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.