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Finding the Fourth Proportional to 30,595.50, 45,882.03 and 10,599.82

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Solution

The fourth proportional to 30,595.50, 45,882.03 and 10,599.82 is: 15,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.50 : 45,882.03 = 10,599.82 : x
  2. Step 2: Convert to fraction form
    30,595.50/45,882.03 = 10,599.82/x
  3. Step 3: Cross multiply
    30,595.50x = 45,882.03 × 10,599.82
  4. Step 4: Simplify right side
    30,595.50x = 486,341,372.84
  5. Step 5: Solve for x
    x = 486,341,372.84/30,595.50
  6. Step 6: Final answer
    x = 15,895.85

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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.