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Finding the Fourth Proportional to 27,975.38, 38,606.02 and 16,038.20

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Solution

The fourth proportional to 27,975.38, 38,606.02 and 16,038.20 is: 22,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975.38 : 38,606.02 = 16,038.20 : x
  2. Step 2: Convert to fraction form
    27,975.38/38,606.02 = 16,038.20/x
  3. Step 3: Cross multiply
    27,975.38x = 38,606.02 × 16,038.20
  4. Step 4: Simplify right side
    27,975.38x = 619,171,126.38
  5. Step 5: Solve for x
    x = 619,171,126.38/27,975.38
  6. Step 6: Final answer
    x = 22,132.72

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1.5x scale

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.