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Finding the Fourth Proportional to 37,883, 56,850.42 and 13,259

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Solution

The fourth proportional to 37,883, 56,850.42 and 13,259 is: 19,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,883 : 56,850.42 = 13,259 : x
  2. Step 2: Convert to fraction form
    37,883/56,850.42 = 13,259/x
  3. Step 3: Cross multiply
    37,883x = 56,850.42 × 13,259
  4. Step 4: Simplify right side
    37,883x = 753,779,718.78
  5. Step 5: Solve for x
    x = 753,779,718.78/37,883
  6. Step 6: Final answer
    x = 19,897.57

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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.