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Finding the Fourth Proportional to 54,657.28, 81,985.92 and 31,267.32

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Solution

The fourth proportional to 54,657.28, 81,985.92 and 31,267.32 is: 46,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.28 : 81,985.92 = 31,267.32 : x
  2. Step 2: Convert to fraction form
    54,657.28/81,985.92 = 31,267.32/x
  3. Step 3: Cross multiply
    54,657.28x = 81,985.92 × 31,267.32
  4. Step 4: Simplify right side
    54,657.28x = 2,563,479,996.13
  5. Step 5: Solve for x
    x = 2,563,479,996.13/54,657.28
  6. Step 6: Final answer
    x = 46,900.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.