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Finding the Fourth Proportional to 76,811.68, 115,238.45 and 23,502.50

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Solution

The fourth proportional to 76,811.68, 115,238.45 and 23,502.50 is: 35,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,811.68 : 115,238.45 = 23,502.50 : x
  2. Step 2: Convert to fraction form
    76,811.68/115,238.45 = 23,502.50/x
  3. Step 3: Cross multiply
    76,811.68x = 115,238.45 × 23,502.50
  4. Step 4: Simplify right side
    76,811.68x = 2,708,391,671.13
  5. Step 5: Solve for x
    x = 2,708,391,671.13/76,811.68
  6. Step 6: Final answer
    x = 35,260.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.