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Finding the Fourth Proportional to 81,966.96, 112,978.44 and 58,062.96

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Solution

The fourth proportional to 81,966.96, 112,978.44 and 58,062.96 is: 80,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.96 : 112,978.44 = 58,062.96 : x
  2. Step 2: Convert to fraction form
    81,966.96/112,978.44 = 58,062.96/x
  3. Step 3: Cross multiply
    81,966.96x = 112,978.44 × 58,062.96
  4. Step 4: Simplify right side
    81,966.96x = 6,559,862,642.58
  5. Step 5: Solve for x
    x = 6,559,862,642.58/81,966.96
  6. Step 6: Final answer
    x = 80,030.57

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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.