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Finding the Fourth Proportional to 65,788.13, 90,789.77 and 35,980.13

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Solution

The fourth proportional to 65,788.13, 90,789.77 and 35,980.13 is: 49,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788.13 : 90,789.77 = 35,980.13 : x
  2. Step 2: Convert to fraction form
    65,788.13/90,789.77 = 35,980.13/x
  3. Step 3: Cross multiply
    65,788.13x = 90,789.77 × 35,980.13
  4. Step 4: Simplify right side
    65,788.13x = 3,266,627,363.27
  5. Step 5: Solve for x
    x = 3,266,627,363.27/65,788.13
  6. Step 6: Final answer
    x = 49,653.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.