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Finding the Fourth Proportional to 65,901.60, 90,944.05 and 35,686.93

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Solution

The fourth proportional to 65,901.60, 90,944.05 and 35,686.93 is: 49,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,901.60 : 90,944.05 = 35,686.93 : x
  2. Step 2: Convert to fraction form
    65,901.60/90,944.05 = 35,686.93/x
  3. Step 3: Cross multiply
    65,901.60x = 90,944.05 × 35,686.93
  4. Step 4: Simplify right side
    65,901.60x = 3,245,513,946.27
  5. Step 5: Solve for x
    x = 3,245,513,946.27/65,901.60
  6. Step 6: Final answer
    x = 49,247.88

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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.