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Finding the Fourth Proportional to 70,116.32, 96,758.80 and 38,284.48

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Solution

The fourth proportional to 70,116.32, 96,758.80 and 38,284.48 is: 52,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,116.32 : 96,758.80 = 38,284.48 : x
  2. Step 2: Convert to fraction form
    70,116.32/96,758.80 = 38,284.48/x
  3. Step 3: Cross multiply
    70,116.32x = 96,758.80 × 38,284.48
  4. Step 4: Simplify right side
    70,116.32x = 3,704,360,343.42
  5. Step 5: Solve for x
    x = 3,704,360,343.42/70,116.32
  6. Step 6: Final answer
    x = 52,831.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.