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Finding the Fourth Proportional to 70,362.32, 97,102.20 and 38,534.24

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Solution

The fourth proportional to 70,362.32, 97,102.20 and 38,534.24 is: 53,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,362.32 : 97,102.20 = 38,534.24 : x
  2. Step 2: Convert to fraction form
    70,362.32/97,102.20 = 38,534.24/x
  3. Step 3: Cross multiply
    70,362.32x = 97,102.20 × 38,534.24
  4. Step 4: Simplify right side
    70,362.32x = 3,741,759,479.33
  5. Step 5: Solve for x
    x = 3,741,759,479.33/70,362.32
  6. Step 6: Final answer
    x = 53,178.46

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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.