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Finding the Fourth Proportional to 37,302.38, 51,478.25 and 22,956.88

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Solution

The fourth proportional to 37,302.38, 51,478.25 and 22,956.88 is: 31,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,302.38 : 51,478.25 = 22,956.88 : x
  2. Step 2: Convert to fraction form
    37,302.38/51,478.25 = 22,956.88/x
  3. Step 3: Cross multiply
    37,302.38x = 51,478.25 × 22,956.88
  4. Step 4: Simplify right side
    37,302.38x = 1,181,779,764.38
  5. Step 5: Solve for x
    x = 1,181,779,764.38/37,302.38
  6. Step 6: Final answer
    x = 31,681.08

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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.