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Finding the Fourth Proportional to 76,317.88, 114,520.50 and 59,631.16

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Solution

The fourth proportional to 76,317.88, 114,520.50 and 59,631.16 is: 89,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,317.88 : 114,520.50 = 59,631.16 : x
  2. Step 2: Convert to fraction form
    76,317.88/114,520.50 = 59,631.16/x
  3. Step 3: Cross multiply
    76,317.88x = 114,520.50 × 59,631.16
  4. Step 4: Simplify right side
    76,317.88x = 6,828,990,258.78
  5. Step 5: Solve for x
    x = 6,828,990,258.78/76,317.88
  6. Step 6: Final answer
    x = 89,480.87

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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.