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Finding the Fourth Proportional to 43,355.59, 64,989.06 and 24,596

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Solution

The fourth proportional to 43,355.59, 64,989.06 and 24,596 is: 36,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,355.59 : 64,989.06 = 24,596 : x
  2. Step 2: Convert to fraction form
    43,355.59/64,989.06 = 24,596/x
  3. Step 3: Cross multiply
    43,355.59x = 64,989.06 × 24,596
  4. Step 4: Simplify right side
    43,355.59x = 1,598,470,919.76
  5. Step 5: Solve for x
    x = 1,598,470,919.76/43,355.59
  6. Step 6: Final answer
    x = 36,868.85

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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.