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Finding the Fourth Proportional to 70,535.42, 105,811.16 and 25,577.96

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Solution

The fourth proportional to 70,535.42, 105,811.16 and 25,577.96 is: 38,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,535.42 : 105,811.16 = 25,577.96 : x
  2. Step 2: Convert to fraction form
    70,535.42/105,811.16 = 25,577.96/x
  3. Step 3: Cross multiply
    70,535.42x = 105,811.16 × 25,577.96
  4. Step 4: Simplify right side
    70,535.42x = 2,706,433,618.03
  5. Step 5: Solve for x
    x = 2,706,433,618.03/70,535.42
  6. Step 6: Final answer
    x = 38,369.85

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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.