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Finding the Fourth Proportional to 82,924, 114,435.20 and 45,198.40

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Solution

The fourth proportional to 82,924, 114,435.20 and 45,198.40 is: 62,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924 : 114,435.20 = 45,198.40 : x
  2. Step 2: Convert to fraction form
    82,924/114,435.20 = 45,198.40/x
  3. Step 3: Cross multiply
    82,924x = 114,435.20 × 45,198.40
  4. Step 4: Simplify right side
    82,924x = 5,172,287,943.68
  5. Step 5: Solve for x
    x = 5,172,287,943.68/82,924
  6. Step 6: Final answer
    x = 62,373.84

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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.