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Finding the Fourth Proportional to 53,002, 79,444.56 and 34,237.60

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Solution

The fourth proportional to 53,002, 79,444.56 and 34,237.60 is: 51,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,002 : 79,444.56 = 34,237.60 : x
  2. Step 2: Convert to fraction form
    53,002/79,444.56 = 34,237.60/x
  3. Step 3: Cross multiply
    53,002x = 79,444.56 × 34,237.60
  4. Step 4: Simplify right side
    53,002x = 2,719,991,067.46
  5. Step 5: Solve for x
    x = 2,719,991,067.46/53,002
  6. Step 6: Final answer
    x = 51,318.65

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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.