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Finding the Fourth Proportional to 82,829.16, 114,304.38 and 45,103.56

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Solution

The fourth proportional to 82,829.16, 114,304.38 and 45,103.56 is: 62,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,829.16 : 114,304.38 = 45,103.56 : x
  2. Step 2: Convert to fraction form
    82,829.16/114,304.38 = 45,103.56/x
  3. Step 3: Cross multiply
    82,829.16x = 114,304.38 × 45,103.56
  4. Step 4: Simplify right side
    82,829.16x = 5,155,534,461.59
  5. Step 5: Solve for x
    x = 5,155,534,461.59/82,829.16
  6. Step 6: Final answer
    x = 62,242.99

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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.