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Finding the Fourth Proportional to 70,188.32, 96,860.14 and 38,357.24

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Solution

The fourth proportional to 70,188.32, 96,860.14 and 38,357.24 is: 52,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,188.32 : 96,860.14 = 38,357.24 : x
  2. Step 2: Convert to fraction form
    70,188.32/96,860.14 = 38,357.24/x
  3. Step 3: Cross multiply
    70,188.32x = 96,860.14 × 38,357.24
  4. Step 4: Simplify right side
    70,188.32x = 3,715,287,056.22
  5. Step 5: Solve for x
    x = 3,715,287,056.22/70,188.32
  6. Step 6: Final answer
    x = 52,933.12

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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.