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Finding the Fourth Proportional to 45,762.12, 63,132.96 and 27,842.76

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Solution

The fourth proportional to 45,762.12, 63,132.96 and 27,842.76 is: 38,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,762.12 : 63,132.96 = 27,842.76 : x
  2. Step 2: Convert to fraction form
    45,762.12/63,132.96 = 27,842.76/x
  3. Step 3: Cross multiply
    45,762.12x = 63,132.96 × 27,842.76
  4. Step 4: Simplify right side
    45,762.12x = 1,757,795,853.37
  5. Step 5: Solve for x
    x = 1,757,795,853.37/45,762.12
  6. Step 6: Final answer
    x = 38,411.59

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Why These Related Problems?

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