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Finding the Fourth Proportional to 38,897.80, 58,346.70 and 19,214.80

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Solution

The fourth proportional to 38,897.80, 58,346.70 and 19,214.80 is: 28,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897.80 : 58,346.70 = 19,214.80 : x
  2. Step 2: Convert to fraction form
    38,897.80/58,346.70 = 19,214.80/x
  3. Step 3: Cross multiply
    38,897.80x = 58,346.70 × 19,214.80
  4. Step 4: Simplify right side
    38,897.80x = 1,121,120,171.16
  5. Step 5: Solve for x
    x = 1,121,120,171.16/38,897.80
  6. Step 6: Final answer
    x = 28,822.20

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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.