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Finding the Fourth Proportional to 52,418.40, 72,338.16 and 29,756.64

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Solution

The fourth proportional to 52,418.40, 72,338.16 and 29,756.64 is: 41,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,418.40 : 72,338.16 = 29,756.64 : x
  2. Step 2: Convert to fraction form
    52,418.40/72,338.16 = 29,756.64/x
  3. Step 3: Cross multiply
    52,418.40x = 72,338.16 × 29,756.64
  4. Step 4: Simplify right side
    52,418.40x = 2,152,540,585.38
  5. Step 5: Solve for x
    x = 2,152,540,585.38/52,418.40
  6. Step 6: Final answer
    x = 41,064.60

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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.