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Finding the Fourth Proportional to 29,971.18, 44,956.77 and 8,911.14

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Solution

The fourth proportional to 29,971.18, 44,956.77 and 8,911.14 is: 13,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.18 : 44,956.77 = 8,911.14 : x
  2. Step 2: Convert to fraction form
    29,971.18/44,956.77 = 8,911.14/x
  3. Step 3: Cross multiply
    29,971.18x = 44,956.77 × 8,911.14
  4. Step 4: Simplify right side
    29,971.18x = 400,615,869.41
  5. Step 5: Solve for x
    x = 400,615,869.41/29,971.18
  6. Step 6: Final answer
    x = 13,366.70

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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.