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Finding the Fourth Proportional to 75,417.87, 113,126.18 and 30,438.54

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Solution

The fourth proportional to 75,417.87, 113,126.18 and 30,438.54 is: 45,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,417.87 : 113,126.18 = 30,438.54 : x
  2. Step 2: Convert to fraction form
    75,417.87/113,126.18 = 30,438.54/x
  3. Step 3: Cross multiply
    75,417.87x = 113,126.18 × 30,438.54
  4. Step 4: Simplify right side
    75,417.87x = 3,443,395,602.78
  5. Step 5: Solve for x
    x = 3,443,395,602.78/75,417.87
  6. Step 6: Final answer
    x = 45,657.55

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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.