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Finding the Fourth Proportional to 75,038.60, 112,502.14 and 45,449.48

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Solution

The fourth proportional to 75,038.60, 112,502.14 and 45,449.48 is: 68,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038.60 : 112,502.14 = 45,449.48 : x
  2. Step 2: Convert to fraction form
    75,038.60/112,502.14 = 45,449.48/x
  3. Step 3: Cross multiply
    75,038.60x = 112,502.14 × 45,449.48
  4. Step 4: Simplify right side
    75,038.60x = 5,113,163,761.89
  5. Step 5: Solve for x
    x = 5,113,163,761.89/75,038.60
  6. Step 6: Final answer
    x = 68,140.45

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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.