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Finding the Fourth Proportional to 105,712.40, 145,883.04 and 57,966.52

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Solution

The fourth proportional to 105,712.40, 145,883.04 and 57,966.52 is: 79,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712.40 : 145,883.04 = 57,966.52 : x
  2. Step 2: Convert to fraction form
    105,712.40/145,883.04 = 57,966.52/x
  3. Step 3: Cross multiply
    105,712.40x = 145,883.04 × 57,966.52
  4. Step 4: Simplify right side
    105,712.40x = 8,456,332,155.82
  5. Step 5: Solve for x
    x = 8,456,332,155.82/105,712.40
  6. Step 6: Final answer
    x = 79,993.76

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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.