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Finding the Fourth Proportional to 52,842.47, 72,923.20 and 30,184.45

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Solution

The fourth proportional to 52,842.47, 72,923.20 and 30,184.45 is: 41,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842.47 : 72,923.20 = 30,184.45 : x
  2. Step 2: Convert to fraction form
    52,842.47/72,923.20 = 30,184.45/x
  3. Step 3: Cross multiply
    52,842.47x = 72,923.20 × 30,184.45
  4. Step 4: Simplify right side
    52,842.47x = 2,201,146,426.47
  5. Step 5: Solve for x
    x = 2,201,146,426.47/52,842.47
  6. Step 6: Final answer
    x = 41,654.88

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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.