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Finding the Fourth Proportional to 81,417.87, 112,356 and 45,608.22

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Solution

The fourth proportional to 81,417.87, 112,356 and 45,608.22 is: 62,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,417.87 : 112,356 = 45,608.22 : x
  2. Step 2: Convert to fraction form
    81,417.87/112,356 = 45,608.22/x
  3. Step 3: Cross multiply
    81,417.87x = 112,356 × 45,608.22
  4. Step 4: Simplify right side
    81,417.87x = 5,124,357,166.32
  5. Step 5: Solve for x
    x = 5,124,357,166.32/81,417.87
  6. Step 6: Final answer
    x = 62,938.97

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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.