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Finding the Fourth Proportional to 31,948.42, 47,929.92 and 9,764.95

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Solution

The fourth proportional to 31,948.42, 47,929.92 and 9,764.95 is: 14,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,948.42 : 47,929.92 = 9,764.95 : x
  2. Step 2: Convert to fraction form
    31,948.42/47,929.92 = 9,764.95/x
  3. Step 3: Cross multiply
    31,948.42x = 47,929.92 × 9,764.95
  4. Step 4: Simplify right side
    31,948.42x = 468,033,272.30
  5. Step 5: Solve for x
    x = 468,033,272.30/31,948.42
  6. Step 6: Final answer
    x = 14,649.65

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