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Finding the Fourth Proportional to 82,478.04, 113,819.22 and 44,751.48

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Solution

The fourth proportional to 82,478.04, 113,819.22 and 44,751.48 is: 61,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,478.04 : 113,819.22 = 44,751.48 : x
  2. Step 2: Convert to fraction form
    82,478.04/113,819.22 = 44,751.48/x
  3. Step 3: Cross multiply
    82,478.04x = 113,819.22 × 44,751.48
  4. Step 4: Simplify right side
    82,478.04x = 5,093,578,547.45
  5. Step 5: Solve for x
    x = 5,093,578,547.45/82,478.04
  6. Step 6: Final answer
    x = 61,756.78

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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.