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Finding the Fourth Proportional to 102,246.86, 153,394.86 and 32,126.12

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Solution

The fourth proportional to 102,246.86, 153,394.86 and 32,126.12 is: 48,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246.86 : 153,394.86 = 32,126.12 : x
  2. Step 2: Convert to fraction form
    102,246.86/153,394.86 = 32,126.12/x
  3. Step 3: Cross multiply
    102,246.86x = 153,394.86 × 32,126.12
  4. Step 4: Simplify right side
    102,246.86x = 4,927,981,679.74
  5. Step 5: Solve for x
    x = 4,927,981,679.74/102,246.86
  6. Step 6: Final answer
    x = 48,196.90

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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.