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Finding the Fourth Proportional to 82,175.64, 123,281.93 and 26,019.10

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Solution

The fourth proportional to 82,175.64, 123,281.93 and 26,019.10 is: 39,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,175.64 : 123,281.93 = 26,019.10 : x
  2. Step 2: Convert to fraction form
    82,175.64/123,281.93 = 26,019.10/x
  3. Step 3: Cross multiply
    82,175.64x = 123,281.93 × 26,019.10
  4. Step 4: Simplify right side
    82,175.64x = 3,207,684,864.86
  5. Step 5: Solve for x
    x = 3,207,684,864.86/82,175.64
  6. Step 6: Final answer
    x = 39,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.