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Finding the Fourth Proportional to 82,614.55, 123,852.16 and 35,832.19

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Solution

The fourth proportional to 82,614.55, 123,852.16 and 35,832.19 is: 53,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,614.55 : 123,852.16 = 35,832.19 : x
  2. Step 2: Convert to fraction form
    82,614.55/123,852.16 = 35,832.19/x
  3. Step 3: Cross multiply
    82,614.55x = 123,852.16 × 35,832.19
  4. Step 4: Simplify right side
    82,614.55x = 4,437,894,129.03
  5. Step 5: Solve for x
    x = 4,437,894,129.03/82,614.55
  6. Step 6: Final answer
    x = 53,718.07

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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.