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Finding the Fourth Proportional to 70,033.76, 96,659.12 and 41,741.24

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Solution

The fourth proportional to 70,033.76, 96,659.12 and 41,741.24 is: 57,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,033.76 : 96,659.12 = 41,741.24 : x
  2. Step 2: Convert to fraction form
    70,033.76/96,659.12 = 41,741.24/x
  3. Step 3: Cross multiply
    70,033.76x = 96,659.12 × 41,741.24
  4. Step 4: Simplify right side
    70,033.76x = 4,034,671,526.11
  5. Step 5: Solve for x
    x = 4,034,671,526.11/70,033.76
  6. Step 6: Final answer
    x = 57,610.38

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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.