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Finding the Fourth Proportional to 27,070.20, 40,547.70 and 22,462.20

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Solution

The fourth proportional to 27,070.20, 40,547.70 and 22,462.20 is: 33,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070.20 : 40,547.70 = 22,462.20 : x
  2. Step 2: Convert to fraction form
    27,070.20/40,547.70 = 22,462.20/x
  3. Step 3: Cross multiply
    27,070.20x = 40,547.70 × 22,462.20
  4. Step 4: Simplify right side
    27,070.20x = 910,790,546.94
  5. Step 5: Solve for x
    x = 910,790,546.94/27,070.20
  6. Step 6: Final answer
    x = 33,645.50

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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.