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Finding the Fourth Proportional to 32,044.06, 48,071.56 and 9,856.95

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Solution

The fourth proportional to 32,044.06, 48,071.56 and 9,856.95 is: 14,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.06 : 48,071.56 = 9,856.95 : x
  2. Step 2: Convert to fraction form
    32,044.06/48,071.56 = 9,856.95/x
  3. Step 3: Cross multiply
    32,044.06x = 48,071.56 × 9,856.95
  4. Step 4: Simplify right side
    32,044.06x = 473,838,963.34
  5. Step 5: Solve for x
    x = 473,838,963.34/32,044.06
  6. Step 6: Final answer
    x = 14,787.11

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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.