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Finding the Fourth Proportional to 31,115.84, 46,667.36 and 8,924.28

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Solution

The fourth proportional to 31,115.84, 46,667.36 and 8,924.28 is: 13,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.84 : 46,667.36 = 8,924.28 : x
  2. Step 2: Convert to fraction form
    31,115.84/46,667.36 = 8,924.28/x
  3. Step 3: Cross multiply
    31,115.84x = 46,667.36 × 8,924.28
  4. Step 4: Simplify right side
    31,115.84x = 416,472,587.50
  5. Step 5: Solve for x
    x = 416,472,587.50/31,115.84
  6. Step 6: Final answer
    x = 13,384.58

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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.