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Finding the Fourth Proportional to 42,287.74, 63,431.43 and 10,698.10

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Solution

The fourth proportional to 42,287.74, 63,431.43 and 10,698.10 is: 16,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,287.74 : 63,431.43 = 10,698.10 : x
  2. Step 2: Convert to fraction form
    42,287.74/63,431.43 = 10,698.10/x
  3. Step 3: Cross multiply
    42,287.74x = 63,431.43 × 10,698.10
  4. Step 4: Simplify right side
    42,287.74x = 678,595,781.28
  5. Step 5: Solve for x
    x = 678,595,781.28/42,287.74
  6. Step 6: Final answer
    x = 16,047.10

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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.