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Finding the Fourth Proportional to 59,432.84, 82,013.76 and 32,570

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Solution

The fourth proportional to 59,432.84, 82,013.76 and 32,570 is: 44,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,432.84 : 82,013.76 = 32,570 : x
  2. Step 2: Convert to fraction form
    59,432.84/82,013.76 = 32,570/x
  3. Step 3: Cross multiply
    59,432.84x = 82,013.76 × 32,570
  4. Step 4: Simplify right side
    59,432.84x = 2,671,188,163.20
  5. Step 5: Solve for x
    x = 2,671,188,163.20/59,432.84
  6. Step 6: Final answer
    x = 44,944.65

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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.