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Finding the Fourth Proportional to 82,884.79, 114,382.29 and 45,159.04

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Solution

The fourth proportional to 82,884.79, 114,382.29 and 45,159.04 is: 62,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,884.79 : 114,382.29 = 45,159.04 : x
  2. Step 2: Convert to fraction form
    82,884.79/114,382.29 = 45,159.04/x
  3. Step 3: Cross multiply
    82,884.79x = 114,382.29 × 45,159.04
  4. Step 4: Simplify right side
    82,884.79x = 5,165,394,409.40
  5. Step 5: Solve for x
    x = 5,165,394,409.40/82,884.79
  6. Step 6: Final answer
    x = 62,320.17

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Why These Related Problems?

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