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Finding the Fourth Proportional to 70,398.18, 105,577.56 and 35,328.42

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Solution

The fourth proportional to 70,398.18, 105,577.56 and 35,328.42 is: 52,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,398.18 : 105,577.56 = 35,328.42 : x
  2. Step 2: Convert to fraction form
    70,398.18/105,577.56 = 35,328.42/x
  3. Step 3: Cross multiply
    70,398.18x = 105,577.56 × 35,328.42
  4. Step 4: Simplify right side
    70,398.18x = 3,729,888,382.26
  5. Step 5: Solve for x
    x = 3,729,888,382.26/70,398.18
  6. Step 6: Final answer
    x = 52,982.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.