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Finding the Fourth Proportional to 27,432, 41,154.48 and 8,964

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Solution

The fourth proportional to 27,432, 41,154.48 and 8,964 is: 13,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 41,154.48 = 8,964 : x
  2. Step 2: Convert to fraction form
    27,432/41,154.48 = 8,964/x
  3. Step 3: Cross multiply
    27,432x = 41,154.48 × 8,964
  4. Step 4: Simplify right side
    27,432x = 368,908,758.72
  5. Step 5: Solve for x
    x = 368,908,758.72/27,432
  6. Step 6: Final answer
    x = 13,448.12

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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.