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Finding the Fourth Proportional to 83,159.36, 114,760.32 and 45,434.24

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Solution

The fourth proportional to 83,159.36, 114,760.32 and 45,434.24 is: 62,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.36 : 114,760.32 = 45,434.24 : x
  2. Step 2: Convert to fraction form
    83,159.36/114,760.32 = 45,434.24/x
  3. Step 3: Cross multiply
    83,159.36x = 114,760.32 × 45,434.24
  4. Step 4: Simplify right side
    83,159.36x = 5,214,047,921.36
  5. Step 5: Solve for x
    x = 5,214,047,921.36/83,159.36
  6. Step 6: Final answer
    x = 62,699.47

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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.