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Finding the Fourth Proportional to 65,708.70, 90,678.04 and 35,494.02

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Solution

The fourth proportional to 65,708.70, 90,678.04 and 35,494.02 is: 48,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708.70 : 90,678.04 = 35,494.02 : x
  2. Step 2: Convert to fraction form
    65,708.70/90,678.04 = 35,494.02/x
  3. Step 3: Cross multiply
    65,708.70x = 90,678.04 × 35,494.02
  4. Step 4: Simplify right side
    65,708.70x = 3,218,528,165.32
  5. Step 5: Solve for x
    x = 3,218,528,165.32/65,708.70
  6. Step 6: Final answer
    x = 48,981.77

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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.