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Finding the Fourth Proportional to 69,134.86, 103,616 and 29,646.16

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Solution

The fourth proportional to 69,134.86, 103,616 and 29,646.16 is: 44,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,134.86 : 103,616 = 29,646.16 : x
  2. Step 2: Convert to fraction form
    69,134.86/103,616 = 29,646.16/x
  3. Step 3: Cross multiply
    69,134.86x = 103,616 × 29,646.16
  4. Step 4: Simplify right side
    69,134.86x = 3,071,816,514.56
  5. Step 5: Solve for x
    x = 3,071,816,514.56/69,134.86
  6. Step 6: Final answer
    x = 44,432.24

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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.