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Finding the Fourth Proportional to 102,514.52, 153,797.68 and 28,642.52

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Solution

The fourth proportional to 102,514.52, 153,797.68 and 28,642.52 is: 42,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514.52 : 153,797.68 = 28,642.52 : x
  2. Step 2: Convert to fraction form
    102,514.52/153,797.68 = 28,642.52/x
  3. Step 3: Cross multiply
    102,514.52x = 153,797.68 × 28,642.52
  4. Step 4: Simplify right side
    102,514.52x = 4,405,153,125.35
  5. Step 5: Solve for x
    x = 4,405,153,125.35/102,514.52
  6. Step 6: Final answer
    x = 42,971.02

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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.