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Finding the Fourth Proportional to 42,029.16, 63,043.54 and 12,447.16

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Solution

The fourth proportional to 42,029.16, 63,043.54 and 12,447.16 is: 18,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,029.16 : 63,043.54 = 12,447.16 : x
  2. Step 2: Convert to fraction form
    42,029.16/63,043.54 = 12,447.16/x
  3. Step 3: Cross multiply
    42,029.16x = 63,043.54 × 12,447.16
  4. Step 4: Simplify right side
    42,029.16x = 784,713,029.35
  5. Step 5: Solve for x
    x = 784,713,029.35/42,029.16
  6. Step 6: Final answer
    x = 18,670.68

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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.