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Finding the Fourth Proportional to 27,547.20, 41,320.80 and 19,828.80

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Solution

The fourth proportional to 27,547.20, 41,320.80 and 19,828.80 is: 29,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.20 : 41,320.80 = 19,828.80 : x
  2. Step 2: Convert to fraction form
    27,547.20/41,320.80 = 19,828.80/x
  3. Step 3: Cross multiply
    27,547.20x = 41,320.80 × 19,828.80
  4. Step 4: Simplify right side
    27,547.20x = 819,341,879.04
  5. Step 5: Solve for x
    x = 819,341,879.04/27,547.20
  6. Step 6: Final answer
    x = 29,743.20

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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.