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Finding the Fourth Proportional to 102,586.08, 153,901.44 and 32,466

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Solution

The fourth proportional to 102,586.08, 153,901.44 and 32,466 is: 48,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.08 : 153,901.44 = 32,466 : x
  2. Step 2: Convert to fraction form
    102,586.08/153,901.44 = 32,466/x
  3. Step 3: Cross multiply
    102,586.08x = 153,901.44 × 32,466
  4. Step 4: Simplify right side
    102,586.08x = 4,996,564,151.04
  5. Step 5: Solve for x
    x = 4,996,564,151.04/102,586.08
  6. Step 6: Final answer
    x = 48,706.06

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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.