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Finding the Fourth Proportional to 42,049.17, 63,055.44 and 12,056.78

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Solution

The fourth proportional to 42,049.17, 63,055.44 and 12,056.78 is: 18,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,049.17 : 63,055.44 = 12,056.78 : x
  2. Step 2: Convert to fraction form
    42,049.17/63,055.44 = 12,056.78/x
  3. Step 3: Cross multiply
    42,049.17x = 63,055.44 × 12,056.78
  4. Step 4: Simplify right side
    42,049.17x = 760,245,725.52
  5. Step 5: Solve for x
    x = 760,245,725.52/42,049.17
  6. Step 6: Final answer
    x = 18,079.92

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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.