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Finding the Fourth Proportional to 42,027, 63,051.72 and 15,734.40

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Solution

The fourth proportional to 42,027, 63,051.72 and 15,734.40 is: 23,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,027 : 63,051.72 = 15,734.40 : x
  2. Step 2: Convert to fraction form
    42,027/63,051.72 = 15,734.40/x
  3. Step 3: Cross multiply
    42,027x = 63,051.72 × 15,734.40
  4. Step 4: Simplify right side
    42,027x = 992,080,983.17
  5. Step 5: Solve for x
    x = 992,080,983.17/42,027
  6. Step 6: Final answer
    x = 23,605.80

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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.