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Finding the Fourth Proportional to 30,294.32, 45,404.64 and 16,219.76

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Solution

The fourth proportional to 30,294.32, 45,404.64 and 16,219.76 is: 24,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.32 : 45,404.64 = 16,219.76 : x
  2. Step 2: Convert to fraction form
    30,294.32/45,404.64 = 16,219.76/x
  3. Step 3: Cross multiply
    30,294.32x = 45,404.64 × 16,219.76
  4. Step 4: Simplify right side
    30,294.32x = 736,452,363.69
  5. Step 5: Solve for x
    x = 736,452,363.69/30,294.32
  6. Step 6: Final answer
    x = 24,309.92

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1.5x scale

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.