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Finding the Fourth Proportional to 37,877, 56,841.42 and 13,253

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Solution

The fourth proportional to 37,877, 56,841.42 and 13,253 is: 19,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,877 : 56,841.42 = 13,253 : x
  2. Step 2: Convert to fraction form
    37,877/56,841.42 = 13,253/x
  3. Step 3: Cross multiply
    37,877x = 56,841.42 × 13,253
  4. Step 4: Simplify right side
    37,877x = 753,319,339.26
  5. Step 5: Solve for x
    x = 753,319,339.26/37,877
  6. Step 6: Final answer
    x = 19,888.57

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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.