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Finding the Fourth Proportional to 102,172.79, 153,285.11 and 32,052.71

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Solution

The fourth proportional to 102,172.79, 153,285.11 and 32,052.71 is: 48,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,172.79 : 153,285.11 = 32,052.71 : x
  2. Step 2: Convert to fraction form
    102,172.79/153,285.11 = 32,052.71/x
  3. Step 3: Cross multiply
    102,172.79x = 153,285.11 × 32,052.71
  4. Step 4: Simplify right side
    102,172.79x = 4,913,203,521.29
  5. Step 5: Solve for x
    x = 4,913,203,521.29/102,172.79
  6. Step 6: Final answer
    x = 48,087.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.