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Finding the Fourth Proportional to 52,471.80, 72,409.20 and 28,597.98

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Solution

The fourth proportional to 52,471.80, 72,409.20 and 28,597.98 is: 39,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.80 : 72,409.20 = 28,597.98 : x
  2. Step 2: Convert to fraction form
    52,471.80/72,409.20 = 28,597.98/x
  3. Step 3: Cross multiply
    52,471.80x = 72,409.20 × 28,597.98
  4. Step 4: Simplify right side
    52,471.80x = 2,070,756,853.42
  5. Step 5: Solve for x
    x = 2,070,756,853.42/52,471.80
  6. Step 6: Final answer
    x = 39,464.19

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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.