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Finding the Fourth Proportional to 65,542.24, 90,448.08 and 35,734.24

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Solution

The fourth proportional to 65,542.24, 90,448.08 and 35,734.24 is: 49,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,542.24 : 90,448.08 = 35,734.24 : x
  2. Step 2: Convert to fraction form
    65,542.24/90,448.08 = 35,734.24/x
  3. Step 3: Cross multiply
    65,542.24x = 90,448.08 × 35,734.24
  4. Step 4: Simplify right side
    65,542.24x = 3,232,093,398.26
  5. Step 5: Solve for x
    x = 3,232,093,398.26/65,542.24
  6. Step 6: Final answer
    x = 49,313.14

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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.