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Finding the Fourth Proportional to 60,419.70, 83,378.49 and 33,565.16

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Solution

The fourth proportional to 60,419.70, 83,378.49 and 33,565.16 is: 46,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,419.70 : 83,378.49 = 33,565.16 : x
  2. Step 2: Convert to fraction form
    60,419.70/83,378.49 = 33,565.16/x
  3. Step 3: Cross multiply
    60,419.70x = 83,378.49 × 33,565.16
  4. Step 4: Simplify right side
    60,419.70x = 2,798,612,357.41
  5. Step 5: Solve for x
    x = 2,798,612,357.41/60,419.70
  6. Step 6: Final answer
    x = 46,319.53

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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.