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Finding the Fourth Proportional to 52,549.80, 72,518.93 and 28,677

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Solution

The fourth proportional to 52,549.80, 72,518.93 and 28,677 is: 39,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,549.80 : 72,518.93 = 28,677 : x
  2. Step 2: Convert to fraction form
    52,549.80/72,518.93 = 28,677/x
  3. Step 3: Cross multiply
    52,549.80x = 72,518.93 × 28,677
  4. Step 4: Simplify right side
    52,549.80x = 2,079,625,212.23
  5. Step 5: Solve for x
    x = 2,079,625,212.23/52,549.80
  6. Step 6: Final answer
    x = 39,574.37

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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.