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Finding the Fourth Proportional to 70,965.72, 106,465.68 and 26,592.86

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Solution

The fourth proportional to 70,965.72, 106,465.68 and 26,592.86 is: 39,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965.72 : 106,465.68 = 26,592.86 : x
  2. Step 2: Convert to fraction form
    70,965.72/106,465.68 = 26,592.86/x
  3. Step 3: Cross multiply
    70,965.72x = 106,465.68 × 26,592.86
  4. Step 4: Simplify right side
    70,965.72x = 2,831,226,390.72
  5. Step 5: Solve for x
    x = 2,831,226,390.72/70,965.72
  6. Step 6: Final answer
    x = 39,895.69

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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.