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Finding the Fourth Proportional to 86,686.86, 130,035.15 and 24,352.50

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Solution

The fourth proportional to 86,686.86, 130,035.15 and 24,352.50 is: 36,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,686.86 : 130,035.15 = 24,352.50 : x
  2. Step 2: Convert to fraction form
    86,686.86/130,035.15 = 24,352.50/x
  3. Step 3: Cross multiply
    86,686.86x = 130,035.15 × 24,352.50
  4. Step 4: Simplify right side
    86,686.86x = 3,166,680,990.38
  5. Step 5: Solve for x
    x = 3,166,680,990.38/86,686.86
  6. Step 6: Final answer
    x = 36,530.12

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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.