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Finding the Fourth Proportional to 52,700.28, 72,684.54 and 39,822.54

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Solution

The fourth proportional to 52,700.28, 72,684.54 and 39,822.54 is: 54,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,700.28 : 72,684.54 = 39,822.54 : x
  2. Step 2: Convert to fraction form
    52,700.28/72,684.54 = 39,822.54/x
  3. Step 3: Cross multiply
    52,700.28x = 72,684.54 × 39,822.54
  4. Step 4: Simplify right side
    52,700.28x = 2,894,483,001.53
  5. Step 5: Solve for x
    x = 2,894,483,001.53/52,700.28
  6. Step 6: Final answer
    x = 54,923.48

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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.