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Finding the Fourth Proportional to 60,782.70, 83,919.24 and 38,152.74

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Solution

The fourth proportional to 60,782.70, 83,919.24 and 38,152.74 is: 52,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,782.70 : 83,919.24 = 38,152.74 : x
  2. Step 2: Convert to fraction form
    60,782.70/83,919.24 = 38,152.74/x
  3. Step 3: Cross multiply
    60,782.70x = 83,919.24 × 38,152.74
  4. Step 4: Simplify right side
    60,782.70x = 3,201,748,944.72
  5. Step 5: Solve for x
    x = 3,201,748,944.72/60,782.70
  6. Step 6: Final answer
    x = 52,675.33

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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.