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Finding the Fourth Proportional to 37,538, 56,307 and 14,158.97

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Solution

The fourth proportional to 37,538, 56,307 and 14,158.97 is: 21,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538 : 56,307 = 14,158.97 : x
  2. Step 2: Convert to fraction form
    37,538/56,307 = 14,158.97/x
  3. Step 3: Cross multiply
    37,538x = 56,307 × 14,158.97
  4. Step 4: Simplify right side
    37,538x = 797,249,123.79
  5. Step 5: Solve for x
    x = 797,249,123.79/37,538
  6. Step 6: Final answer
    x = 21,238.46

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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.