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Finding the Fourth Proportional to 82,288.98, 113,557.95 and 46,478.88

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Solution

The fourth proportional to 82,288.98, 113,557.95 and 46,478.88 is: 64,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,288.98 : 113,557.95 = 46,478.88 : x
  2. Step 2: Convert to fraction form
    82,288.98/113,557.95 = 46,478.88/x
  3. Step 3: Cross multiply
    82,288.98x = 113,557.95 × 46,478.88
  4. Step 4: Simplify right side
    82,288.98x = 5,278,046,331.10
  5. Step 5: Solve for x
    x = 5,278,046,331.10/82,288.98
  6. Step 6: Final answer
    x = 64,140.38

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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.