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Finding the Fourth Proportional to 101,762.64, 140,424.84 and 57,042

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Solution

The fourth proportional to 101,762.64, 140,424.84 and 57,042 is: 78,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762.64 : 140,424.84 = 57,042 : x
  2. Step 2: Convert to fraction form
    101,762.64/140,424.84 = 57,042/x
  3. Step 3: Cross multiply
    101,762.64x = 140,424.84 × 57,042
  4. Step 4: Simplify right side
    101,762.64x = 8,010,113,723.28
  5. Step 5: Solve for x
    x = 8,010,113,723.28/101,762.64
  6. Step 6: Final answer
    x = 78,713.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.