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Finding the Fourth Proportional to 75,335.76, 103,966.61 and 45,126

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Solution

The fourth proportional to 75,335.76, 103,966.61 and 45,126 is: 62,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,335.76 : 103,966.61 = 45,126 : x
  2. Step 2: Convert to fraction form
    75,335.76/103,966.61 = 45,126/x
  3. Step 3: Cross multiply
    75,335.76x = 103,966.61 × 45,126
  4. Step 4: Simplify right side
    75,335.76x = 4,691,597,017.23
  5. Step 5: Solve for x
    x = 4,691,597,017.23/75,335.76
  6. Step 6: Final answer
    x = 62,275.83

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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.