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Finding the Fourth Proportional to 25,047, 37,537.70 and 13,958.91

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Solution

The fourth proportional to 25,047, 37,537.70 and 13,958.91 is: 20,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047 : 37,537.70 = 13,958.91 : x
  2. Step 2: Convert to fraction form
    25,047/37,537.70 = 13,958.91/x
  3. Step 3: Cross multiply
    25,047x = 37,537.70 × 13,958.91
  4. Step 4: Simplify right side
    25,047x = 523,985,306.11
  5. Step 5: Solve for x
    x = 523,985,306.11/25,047
  6. Step 6: Final answer
    x = 20,920.08

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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.