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Finding the Fourth Proportional to 42,423.64, 63,209.15 and 40,039

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Solution

The fourth proportional to 42,423.64, 63,209.15 and 40,039 is: 59,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,423.64 : 63,209.15 = 40,039 : x
  2. Step 2: Convert to fraction form
    42,423.64/63,209.15 = 40,039/x
  3. Step 3: Cross multiply
    42,423.64x = 63,209.15 × 40,039
  4. Step 4: Simplify right side
    42,423.64x = 2,530,831,156.85
  5. Step 5: Solve for x
    x = 2,530,831,156.85/42,423.64
  6. Step 6: Final answer
    x = 59,656.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.