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Finding the Fourth Proportional to 32,123.90, 48,158.13 and 15,461.01

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Solution

The fourth proportional to 32,123.90, 48,158.13 and 15,461.01 is: 23,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.90 : 48,158.13 = 15,461.01 : x
  2. Step 2: Convert to fraction form
    32,123.90/48,158.13 = 15,461.01/x
  3. Step 3: Cross multiply
    32,123.90x = 48,158.13 × 15,461.01
  4. Step 4: Simplify right side
    32,123.90x = 744,573,088.72
  5. Step 5: Solve for x
    x = 744,573,088.72/32,123.90
  6. Step 6: Final answer
    x = 23,178.17

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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.