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Finding the Fourth Proportional to 81,284.71, 112,179.63 and 45,478.06

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Solution

The fourth proportional to 81,284.71, 112,179.63 and 45,478.06 is: 62,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,284.71 : 112,179.63 = 45,478.06 : x
  2. Step 2: Convert to fraction form
    81,284.71/112,179.63 = 45,478.06/x
  3. Step 3: Cross multiply
    81,284.71x = 112,179.63 × 45,478.06
  4. Step 4: Simplify right side
    81,284.71x = 5,101,711,943.92
  5. Step 5: Solve for x
    x = 5,101,711,943.92/81,284.71
  6. Step 6: Final answer
    x = 62,763.49

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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.