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Finding the Fourth Proportional to 42,046.35, 63,076.14 and 12,467.13

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Solution

The fourth proportional to 42,046.35, 63,076.14 and 12,467.13 is: 18,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,046.35 : 63,076.14 = 12,467.13 : x
  2. Step 2: Convert to fraction form
    42,046.35/63,076.14 = 12,467.13/x
  3. Step 3: Cross multiply
    42,046.35x = 63,076.14 × 12,467.13
  4. Step 4: Simplify right side
    42,046.35x = 786,378,437.28
  5. Step 5: Solve for x
    x = 786,378,437.28/42,046.35
  6. Step 6: Final answer
    x = 18,702.66

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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.