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Finding the Fourth Proportional to 52,014.80, 71,780.44 and 28,141.46

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Solution

The fourth proportional to 52,014.80, 71,780.44 and 28,141.46 is: 38,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.80 : 71,780.44 = 28,141.46 : x
  2. Step 2: Convert to fraction form
    52,014.80/71,780.44 = 28,141.46/x
  3. Step 3: Cross multiply
    52,014.80x = 71,780.44 × 28,141.46
  4. Step 4: Simplify right side
    52,014.80x = 2,020,006,381.04
  5. Step 5: Solve for x
    x = 2,020,006,381.04/52,014.80
  6. Step 6: Final answer
    x = 38,835.22

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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.