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Finding the Fourth Proportional to 31,073.32, 46,609.96 and 7,699.76

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Solution

The fourth proportional to 31,073.32, 46,609.96 and 7,699.76 is: 11,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.32 : 46,609.96 = 7,699.76 : x
  2. Step 2: Convert to fraction form
    31,073.32/46,609.96 = 7,699.76/x
  3. Step 3: Cross multiply
    31,073.32x = 46,609.96 × 7,699.76
  4. Step 4: Simplify right side
    31,073.32x = 358,885,420.88
  5. Step 5: Solve for x
    x = 358,885,420.88/31,073.32
  6. Step 6: Final answer
    x = 11,549.63

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Similar ratio
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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.