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Finding the Fourth Proportional to 81,895.68, 113,006.88 and 46,098

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Solution

The fourth proportional to 81,895.68, 113,006.88 and 46,098 is: 63,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,895.68 : 113,006.88 = 46,098 : x
  2. Step 2: Convert to fraction form
    81,895.68/113,006.88 = 46,098/x
  3. Step 3: Cross multiply
    81,895.68x = 113,006.88 × 46,098
  4. Step 4: Simplify right side
    81,895.68x = 5,209,391,154.24
  5. Step 5: Solve for x
    x = 5,209,391,154.24/81,895.68
  6. Step 6: Final answer
    x = 63,610.08

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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.