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Finding the Fourth Proportional to 82,205.01, 123,307.52 and 34,827.57

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Solution

The fourth proportional to 82,205.01, 123,307.52 and 34,827.57 is: 52,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205.01 : 123,307.52 = 34,827.57 : x
  2. Step 2: Convert to fraction form
    82,205.01/123,307.52 = 34,827.57/x
  3. Step 3: Cross multiply
    82,205.01x = 123,307.52 × 34,827.57
  4. Step 4: Simplify right side
    82,205.01x = 4,294,501,110.19
  5. Step 5: Solve for x
    x = 4,294,501,110.19/82,205.01
  6. Step 6: Final answer
    x = 52,241.36

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1.5x scale

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.