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Finding the Fourth Proportional to 57,459.95, 79,292.86 and 31,965.60

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Solution

The fourth proportional to 57,459.95, 79,292.86 and 31,965.60 is: 44,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,459.95 : 79,292.86 = 31,965.60 : x
  2. Step 2: Convert to fraction form
    57,459.95/79,292.86 = 31,965.60/x
  3. Step 3: Cross multiply
    57,459.95x = 79,292.86 × 31,965.60
  4. Step 4: Simplify right side
    57,459.95x = 2,534,643,765.70
  5. Step 5: Solve for x
    x = 2,534,643,765.70/57,459.95
  6. Step 6: Final answer
    x = 44,111.49

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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.