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Finding the Fourth Proportional to 82,365.30, 123,547.95 and 23,200.20

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Solution

The fourth proportional to 82,365.30, 123,547.95 and 23,200.20 is: 34,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365.30 : 123,547.95 = 23,200.20 : x
  2. Step 2: Convert to fraction form
    82,365.30/123,547.95 = 23,200.20/x
  3. Step 3: Cross multiply
    82,365.30x = 123,547.95 × 23,200.20
  4. Step 4: Simplify right side
    82,365.30x = 2,866,337,149.59
  5. Step 5: Solve for x
    x = 2,866,337,149.59/82,365.30
  6. Step 6: Final answer
    x = 34,800.30

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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.