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Finding the Fourth Proportional to 40,960, 61,449.75 and 13,258

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Solution

The fourth proportional to 40,960, 61,449.75 and 13,258 is: 19,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,960 : 61,449.75 = 13,258 : x
  2. Step 2: Convert to fraction form
    40,960/61,449.75 = 13,258/x
  3. Step 3: Cross multiply
    40,960x = 61,449.75 × 13,258
  4. Step 4: Simplify right side
    40,960x = 814,700,785.50
  5. Step 5: Solve for x
    x = 814,700,785.50/40,960
  6. Step 6: Final answer
    x = 19,890.16

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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.