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Finding the Fourth Proportional to 61,948.86, 92,799.36 and 47,859.72

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Solution

The fourth proportional to 61,948.86, 92,799.36 and 47,859.72 is: 71,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,948.86 : 92,799.36 = 47,859.72 : x
  2. Step 2: Convert to fraction form
    61,948.86/92,799.36 = 47,859.72/x
  3. Step 3: Cross multiply
    61,948.86x = 92,799.36 × 47,859.72
  4. Step 4: Simplify right side
    61,948.86x = 4,441,351,385.78
  5. Step 5: Solve for x
    x = 4,441,351,385.78/61,948.86
  6. Step 6: Final answer
    x = 71,693.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.