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Finding the Fourth Proportional to 86,498.30, 129,675.45 and 36,616.70

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Solution

The fourth proportional to 86,498.30, 129,675.45 and 36,616.70 is: 54,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,498.30 : 129,675.45 = 36,616.70 : x
  2. Step 2: Convert to fraction form
    86,498.30/129,675.45 = 36,616.70/x
  3. Step 3: Cross multiply
    86,498.30x = 129,675.45 × 36,616.70
  4. Step 4: Simplify right side
    86,498.30x = 4,748,287,050.02
  5. Step 5: Solve for x
    x = 4,748,287,050.02/86,498.30
  6. Step 6: Final answer
    x = 54,894.57

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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.