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Finding the Fourth Proportional to 82,808.12, 124,209.65 and 23,643.90

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Solution

The fourth proportional to 82,808.12, 124,209.65 and 23,643.90 is: 35,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808.12 : 124,209.65 = 23,643.90 : x
  2. Step 2: Convert to fraction form
    82,808.12/124,209.65 = 23,643.90/x
  3. Step 3: Cross multiply
    82,808.12x = 124,209.65 × 23,643.90
  4. Step 4: Simplify right side
    82,808.12x = 2,936,800,602.74
  5. Step 5: Solve for x
    x = 2,936,800,602.74/82,808.12
  6. Step 6: Final answer
    x = 35,465.13

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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.