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Finding the Fourth Proportional to 102,514.60, 153,774.30 and 36,031.24

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Solution

The fourth proportional to 102,514.60, 153,774.30 and 36,031.24 is: 54,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514.60 : 153,774.30 = 36,031.24 : x
  2. Step 2: Convert to fraction form
    102,514.60/153,774.30 = 36,031.24/x
  3. Step 3: Cross multiply
    102,514.60x = 153,774.30 × 36,031.24
  4. Step 4: Simplify right side
    102,514.60x = 5,540,678,709.13
  5. Step 5: Solve for x
    x = 5,540,678,709.13/102,514.60
  6. Step 6: Final answer
    x = 54,047.70

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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.