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Finding the Fourth Proportional to 65,646.16, 90,591.24 and 35,838.16

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Solution

The fourth proportional to 65,646.16, 90,591.24 and 35,838.16 is: 49,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646.16 : 90,591.24 = 35,838.16 : x
  2. Step 2: Convert to fraction form
    65,646.16/90,591.24 = 35,838.16/x
  3. Step 3: Cross multiply
    65,646.16x = 90,591.24 × 35,838.16
  4. Step 4: Simplify right side
    65,646.16x = 3,246,623,353.72
  5. Step 5: Solve for x
    x = 3,246,623,353.72/65,646.16
  6. Step 6: Final answer
    x = 49,456.41

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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.