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Finding the Fourth Proportional to 75,497.80, 113,246.70 and 31,101.70

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Solution

The fourth proportional to 75,497.80, 113,246.70 and 31,101.70 is: 46,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,497.80 : 113,246.70 = 31,101.70 : x
  2. Step 2: Convert to fraction form
    75,497.80/113,246.70 = 31,101.70/x
  3. Step 3: Cross multiply
    75,497.80x = 113,246.70 × 31,101.70
  4. Step 4: Simplify right side
    75,497.80x = 3,522,164,889.39
  5. Step 5: Solve for x
    x = 3,522,164,889.39/75,497.80
  6. Step 6: Final answer
    x = 46,652.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.