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Finding the Fourth Proportional to 73,282.80, 109,932.96 and 25,888.08

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Solution

The fourth proportional to 73,282.80, 109,932.96 and 25,888.08 is: 38,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,282.80 : 109,932.96 = 25,888.08 : x
  2. Step 2: Convert to fraction form
    73,282.80/109,932.96 = 25,888.08/x
  3. Step 3: Cross multiply
    73,282.80x = 109,932.96 × 25,888.08
  4. Step 4: Simplify right side
    73,282.80x = 2,845,953,263.12
  5. Step 5: Solve for x
    x = 2,845,953,263.12/73,282.80
  6. Step 6: Final answer
    x = 38,835.21

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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.