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Finding the Fourth Proportional to 60,512.34, 83,509.34 and 33,656.79

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Solution

The fourth proportional to 60,512.34, 83,509.34 and 33,656.79 is: 46,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,512.34 : 83,509.34 = 33,656.79 : x
  2. Step 2: Convert to fraction form
    60,512.34/83,509.34 = 33,656.79/x
  3. Step 3: Cross multiply
    60,512.34x = 83,509.34 × 33,656.79
  4. Step 4: Simplify right side
    60,512.34x = 2,810,656,319.42
  5. Step 5: Solve for x
    x = 2,810,656,319.42/60,512.34
  6. Step 6: Final answer
    x = 46,447.66

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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.