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Finding the Fourth Proportional to 76,158.40, 114,264.92 and 34,034.96

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Solution

The fourth proportional to 76,158.40, 114,264.92 and 34,034.96 is: 51,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,158.40 : 114,264.92 = 34,034.96 : x
  2. Step 2: Convert to fraction form
    76,158.40/114,264.92 = 34,034.96/x
  3. Step 3: Cross multiply
    76,158.40x = 114,264.92 × 34,034.96
  4. Step 4: Simplify right side
    76,158.40x = 3,889,001,981.60
  5. Step 5: Solve for x
    x = 3,889,001,981.60/76,158.40
  6. Step 6: Final answer
    x = 51,064.65

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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.