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Finding the Fourth Proportional to 82,491.68, 113,838 and 44,765.12

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Solution

The fourth proportional to 82,491.68, 113,838 and 44,765.12 is: 61,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,491.68 : 113,838 = 44,765.12 : x
  2. Step 2: Convert to fraction form
    82,491.68/113,838 = 44,765.12/x
  3. Step 3: Cross multiply
    82,491.68x = 113,838 × 44,765.12
  4. Step 4: Simplify right side
    82,491.68x = 5,095,971,730.56
  5. Step 5: Solve for x
    x = 5,095,971,730.56/82,491.68
  6. Step 6: Final answer
    x = 61,775.58

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1.5x scale

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.