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Finding the Fourth Proportional to 102,732.48, 154,097.10 and 32,610.96

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Solution

The fourth proportional to 102,732.48, 154,097.10 and 32,610.96 is: 48,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,732.48 : 154,097.10 = 32,610.96 : x
  2. Step 2: Convert to fraction form
    102,732.48/154,097.10 = 32,610.96/x
  3. Step 3: Cross multiply
    102,732.48x = 154,097.10 × 32,610.96
  4. Step 4: Simplify right side
    102,732.48x = 5,025,254,364.22
  5. Step 5: Solve for x
    x = 5,025,254,364.22/102,732.48
  6. Step 6: Final answer
    x = 48,915.93

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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.