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Finding the Fourth Proportional to 27,446.35, 37,875.97 and 14,871.10

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Solution

The fourth proportional to 27,446.35, 37,875.97 and 14,871.10 is: 20,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.35 : 37,875.97 = 14,871.10 : x
  2. Step 2: Convert to fraction form
    27,446.35/37,875.97 = 14,871.10/x
  3. Step 3: Cross multiply
    27,446.35x = 37,875.97 × 14,871.10
  4. Step 4: Simplify right side
    27,446.35x = 563,257,332.38
  5. Step 5: Solve for x
    x = 563,257,332.38/27,446.35
  6. Step 6: Final answer
    x = 20,522.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.