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Finding the Fourth Proportional to 86,565.88, 129,842.34 and 30,406.48

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Solution

The fourth proportional to 86,565.88, 129,842.34 and 30,406.48 is: 45,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.88 : 129,842.34 = 30,406.48 : x
  2. Step 2: Convert to fraction form
    86,565.88/129,842.34 = 30,406.48/x
  3. Step 3: Cross multiply
    86,565.88x = 129,842.34 × 30,406.48
  4. Step 4: Simplify right side
    86,565.88x = 3,948,048,514.36
  5. Step 5: Solve for x
    x = 3,948,048,514.36/86,565.88
  6. Step 6: Final answer
    x = 45,607.44

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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.