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Finding the Fourth Proportional to 42,047.52, 63,052.26 and 12,454.98

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Solution

The fourth proportional to 42,047.52, 63,052.26 and 12,454.98 is: 18,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,047.52 : 63,052.26 = 12,454.98 : x
  2. Step 2: Convert to fraction form
    42,047.52/63,052.26 = 12,454.98/x
  3. Step 3: Cross multiply
    42,047.52x = 63,052.26 × 12,454.98
  4. Step 4: Simplify right side
    42,047.52x = 785,314,637.25
  5. Step 5: Solve for x
    x = 785,314,637.25/42,047.52
  6. Step 6: Final answer
    x = 18,676.84

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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.