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Finding the Fourth Proportional to 82,914.76, 114,422.16 and 45,188.92

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Solution

The fourth proportional to 82,914.76, 114,422.16 and 45,188.92 is: 62,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.76 : 114,422.16 = 45,188.92 : x
  2. Step 2: Convert to fraction form
    82,914.76/114,422.16 = 45,188.92/x
  3. Step 3: Cross multiply
    82,914.76x = 114,422.16 × 45,188.92
  4. Step 4: Simplify right side
    82,914.76x = 5,170,613,834.47
  5. Step 5: Solve for x
    x = 5,170,613,834.47/82,914.76
  6. Step 6: Final answer
    x = 62,360.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.