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Finding the Fourth Proportional to 30,313.08, 45,472.76 and 11,593

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Solution

The fourth proportional to 30,313.08, 45,472.76 and 11,593 is: 17,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.08 : 45,472.76 = 11,593 : x
  2. Step 2: Convert to fraction form
    30,313.08/45,472.76 = 11,593/x
  3. Step 3: Cross multiply
    30,313.08x = 45,472.76 × 11,593
  4. Step 4: Simplify right side
    30,313.08x = 527,165,706.68
  5. Step 5: Solve for x
    x = 527,165,706.68/30,313.08
  6. Step 6: Final answer
    x = 17,390.70

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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.