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Finding the Fourth Proportional to 71,140.77, 98,187.84 and 46,899.18

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Solution

The fourth proportional to 71,140.77, 98,187.84 and 46,899.18 is: 64,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.77 : 98,187.84 = 46,899.18 : x
  2. Step 2: Convert to fraction form
    71,140.77/98,187.84 = 46,899.18/x
  3. Step 3: Cross multiply
    71,140.77x = 98,187.84 × 46,899.18
  4. Step 4: Simplify right side
    71,140.77x = 4,604,929,181.97
  5. Step 5: Solve for x
    x = 4,604,929,181.97/71,140.77
  6. Step 6: Final answer
    x = 64,729.82

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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.