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Finding the Fourth Proportional to 37,856.68, 56,780.49 and 15,667.40

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Solution

The fourth proportional to 37,856.68, 56,780.49 and 15,667.40 is: 23,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,856.68 : 56,780.49 = 15,667.40 : x
  2. Step 2: Convert to fraction form
    37,856.68/56,780.49 = 15,667.40/x
  3. Step 3: Cross multiply
    37,856.68x = 56,780.49 × 15,667.40
  4. Step 4: Simplify right side
    37,856.68x = 889,602,649.03
  5. Step 5: Solve for x
    x = 889,602,649.03/37,856.68
  6. Step 6: Final answer
    x = 23,499.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.