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Finding the Fourth Proportional to 82,539.64, 123,808.74 and 20,210.20

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Solution

The fourth proportional to 82,539.64, 123,808.74 and 20,210.20 is: 30,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,539.64 : 123,808.74 = 20,210.20 : x
  2. Step 2: Convert to fraction form
    82,539.64/123,808.74 = 20,210.20/x
  3. Step 3: Cross multiply
    82,539.64x = 123,808.74 × 20,210.20
  4. Step 4: Simplify right side
    82,539.64x = 2,502,199,397.15
  5. Step 5: Solve for x
    x = 2,502,199,397.15/82,539.64
  6. Step 6: Final answer
    x = 30,315.12

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