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Finding the Fourth Proportional to 52,642.80, 78,919.92 and 43,283.52

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Solution

The fourth proportional to 52,642.80, 78,919.92 and 43,283.52 is: 64,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.80 : 78,919.92 = 43,283.52 : x
  2. Step 2: Convert to fraction form
    52,642.80/78,919.92 = 43,283.52/x
  3. Step 3: Cross multiply
    52,642.80x = 78,919.92 × 43,283.52
  4. Step 4: Simplify right side
    52,642.80x = 3,415,931,935.72
  5. Step 5: Solve for x
    x = 3,415,931,935.72/52,642.80
  6. Step 6: Final answer
    x = 64,888.87

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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.