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Finding the Fourth Proportional to 32,106.06, 48,118.98 and 15,463

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Solution

The fourth proportional to 32,106.06, 48,118.98 and 15,463 is: 23,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.06 : 48,118.98 = 15,463 : x
  2. Step 2: Convert to fraction form
    32,106.06/48,118.98 = 15,463/x
  3. Step 3: Cross multiply
    32,106.06x = 48,118.98 × 15,463
  4. Step 4: Simplify right side
    32,106.06x = 744,063,787.74
  5. Step 5: Solve for x
    x = 744,063,787.74/32,106.06
  6. Step 6: Final answer
    x = 23,175.18

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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.