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Finding the Fourth Proportional to 52,602.84, 72,590.80 and 28,729.61

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Solution

The fourth proportional to 52,602.84, 72,590.80 and 28,729.61 is: 39,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602.84 : 72,590.80 = 28,729.61 : x
  2. Step 2: Convert to fraction form
    52,602.84/72,590.80 = 28,729.61/x
  3. Step 3: Cross multiply
    52,602.84x = 72,590.80 × 28,729.61
  4. Step 4: Simplify right side
    52,602.84x = 2,085,505,229.94
  5. Step 5: Solve for x
    x = 2,085,505,229.94/52,602.84
  6. Step 6: Final answer
    x = 39,646.25

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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.