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Finding the Fourth Proportional to 39,407.60, 54,402.55 and 30,434.96

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Solution

The fourth proportional to 39,407.60, 54,402.55 and 30,434.96 is: 42,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,407.60 : 54,402.55 = 30,434.96 : x
  2. Step 2: Convert to fraction form
    39,407.60/54,402.55 = 30,434.96/x
  3. Step 3: Cross multiply
    39,407.60x = 54,402.55 × 30,434.96
  4. Step 4: Simplify right side
    39,407.60x = 1,655,739,433.15
  5. Step 5: Solve for x
    x = 1,655,739,433.15/39,407.60
  6. Step 6: Final answer
    x = 42,015.74

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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.