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Finding the Fourth Proportional to 52,635.84, 72,657.60 and 32,496

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Solution

The fourth proportional to 52,635.84, 72,657.60 and 32,496 is: 44,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,635.84 : 72,657.60 = 32,496 : x
  2. Step 2: Convert to fraction form
    52,635.84/72,657.60 = 32,496/x
  3. Step 3: Cross multiply
    52,635.84x = 72,657.60 × 32,496
  4. Step 4: Simplify right side
    52,635.84x = 2,361,081,369.60
  5. Step 5: Solve for x
    x = 2,361,081,369.60/52,635.84
  6. Step 6: Final answer
    x = 44,856.91

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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.