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Finding the Fourth Proportional to 54,646.80, 81,970.20 and 17,710.80

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Solution

The fourth proportional to 54,646.80, 81,970.20 and 17,710.80 is: 26,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,646.80 : 81,970.20 = 17,710.80 : x
  2. Step 2: Convert to fraction form
    54,646.80/81,970.20 = 17,710.80/x
  3. Step 3: Cross multiply
    54,646.80x = 81,970.20 × 17,710.80
  4. Step 4: Simplify right side
    54,646.80x = 1,451,757,818.16
  5. Step 5: Solve for x
    x = 1,451,757,818.16/54,646.80
  6. Step 6: Final answer
    x = 26,566.20

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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.