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Finding the Fourth Proportional to 86,762.10, 130,143.15 and 24,432.60

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Solution

The fourth proportional to 86,762.10, 130,143.15 and 24,432.60 is: 36,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,762.10 : 130,143.15 = 24,432.60 : x
  2. Step 2: Convert to fraction form
    86,762.10/130,143.15 = 24,432.60/x
  3. Step 3: Cross multiply
    86,762.10x = 130,143.15 × 24,432.60
  4. Step 4: Simplify right side
    86,762.10x = 3,179,735,526.69
  5. Step 5: Solve for x
    x = 3,179,735,526.69/86,762.10
  6. Step 6: Final answer
    x = 36,648.90

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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.