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Finding the Fourth Proportional to 84,864.80, 127,315.56 and 32,275.28

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Solution

The fourth proportional to 84,864.80, 127,315.56 and 32,275.28 is: 48,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,864.80 : 127,315.56 = 32,275.28 : x
  2. Step 2: Convert to fraction form
    84,864.80/127,315.56 = 32,275.28/x
  3. Step 3: Cross multiply
    84,864.80x = 127,315.56 × 32,275.28
  4. Step 4: Simplify right side
    84,864.80x = 4,109,145,347.36
  5. Step 5: Solve for x
    x = 4,109,145,347.36/84,864.80
  6. Step 6: Final answer
    x = 48,419.90

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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.