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Finding the Fourth Proportional to 82,800.46, 114,264.62 and 45,074.70

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Solution

The fourth proportional to 82,800.46, 114,264.62 and 45,074.70 is: 62,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,800.46 : 114,264.62 = 45,074.70 : x
  2. Step 2: Convert to fraction form
    82,800.46/114,264.62 = 45,074.70/x
  3. Step 3: Cross multiply
    82,800.46x = 114,264.62 × 45,074.70
  4. Step 4: Simplify right side
    82,800.46x = 5,150,443,467.11
  5. Step 5: Solve for x
    x = 5,150,443,467.11/82,800.46
  6. Step 6: Final answer
    x = 62,203.08

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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.