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Finding the Fourth Proportional to 70,831.50, 97,748.04 and 38,566.32

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Solution

The fourth proportional to 70,831.50, 97,748.04 and 38,566.32 is: 53,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,831.50 : 97,748.04 = 38,566.32 : x
  2. Step 2: Convert to fraction form
    70,831.50/97,748.04 = 38,566.32/x
  3. Step 3: Cross multiply
    70,831.50x = 97,748.04 × 38,566.32
  4. Step 4: Simplify right side
    70,831.50x = 3,769,782,190.01
  5. Step 5: Solve for x
    x = 3,769,782,190.01/70,831.50
  6. Step 6: Final answer
    x = 53,221.83

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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.