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Finding the Fourth Proportional to 56,406, 84,595.14 and 24,823.98

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Solution

The fourth proportional to 56,406, 84,595.14 and 24,823.98 is: 37,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406 : 84,595.14 = 24,823.98 : x
  2. Step 2: Convert to fraction form
    56,406/84,595.14 = 24,823.98/x
  3. Step 3: Cross multiply
    56,406x = 84,595.14 × 24,823.98
  4. Step 4: Simplify right side
    56,406x = 2,099,988,063.46
  5. Step 5: Solve for x
    x = 2,099,988,063.46/56,406
  6. Step 6: Final answer
    x = 37,229.87

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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.