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Finding the Fourth Proportional to 92,114.96, 138,235.90 and 32,143.78

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Solution

The fourth proportional to 92,114.96, 138,235.90 and 32,143.78 is: 48,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,114.96 : 138,235.90 = 32,143.78 : x
  2. Step 2: Convert to fraction form
    92,114.96/138,235.90 = 32,143.78/x
  3. Step 3: Cross multiply
    92,114.96x = 138,235.90 × 32,143.78
  4. Step 4: Simplify right side
    92,114.96x = 4,443,423,931.75
  5. Step 5: Solve for x
    x = 4,443,423,931.75/92,114.96
  6. Step 6: Final answer
    x = 48,237.81

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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.