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Finding the Fourth Proportional to 65,478, 90,359.64 and 35,670

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Solution

The fourth proportional to 65,478, 90,359.64 and 35,670 is: 49,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478 : 90,359.64 = 35,670 : x
  2. Step 2: Convert to fraction form
    65,478/90,359.64 = 35,670/x
  3. Step 3: Cross multiply
    65,478x = 90,359.64 × 35,670
  4. Step 4: Simplify right side
    65,478x = 3,223,128,358.80
  5. Step 5: Solve for x
    x = 3,223,128,358.80/65,478
  6. Step 6: Final answer
    x = 49,224.60

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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.