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Finding the Fourth Proportional to 102,179.46, 153,225.45 and 32,064.24

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Solution

The fourth proportional to 102,179.46, 153,225.45 and 32,064.24 is: 48,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,179.46 : 153,225.45 = 32,064.24 : x
  2. Step 2: Convert to fraction form
    102,179.46/153,225.45 = 32,064.24/x
  3. Step 3: Cross multiply
    102,179.46x = 153,225.45 × 32,064.24
  4. Step 4: Simplify right side
    102,179.46x = 4,913,057,602.91
  5. Step 5: Solve for x
    x = 4,913,057,602.91/102,179.46
  6. Step 6: Final answer
    x = 48,082.63

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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.