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Finding the Fourth Proportional to 83,068.36, 114,634.30 and 45,342.61

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Solution

The fourth proportional to 83,068.36, 114,634.30 and 45,342.61 is: 62,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,068.36 : 114,634.30 = 45,342.61 : x
  2. Step 2: Convert to fraction form
    83,068.36/114,634.30 = 45,342.61/x
  3. Step 3: Cross multiply
    83,068.36x = 114,634.30 × 45,342.61
  4. Step 4: Simplify right side
    83,068.36x = 5,197,817,784.35
  5. Step 5: Solve for x
    x = 5,197,817,784.35/83,068.36
  6. Step 6: Final answer
    x = 62,572.78

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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.