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Finding the Fourth Proportional to 52,006.38, 71,768.75 and 28,133.00

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Solution

The fourth proportional to 52,006.38, 71,768.75 and 28,133.00 is: 38,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.38 : 71,768.75 = 28,133.00 : x
  2. Step 2: Convert to fraction form
    52,006.38/71,768.75 = 28,133.00/x
  3. Step 3: Cross multiply
    52,006.38x = 71,768.75 × 28,133.00
  4. Step 4: Simplify right side
    52,006.38x = 2,019,069,744.24
  5. Step 5: Solve for x
    x = 2,019,069,744.24/52,006.38
  6. Step 6: Final answer
    x = 38,823.50

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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.