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Finding the Fourth Proportional to 56,156.70, 77,511.15 and 32,286

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Solution

The fourth proportional to 56,156.70, 77,511.15 and 32,286 is: 44,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,156.70 : 77,511.15 = 32,286 : x
  2. Step 2: Convert to fraction form
    56,156.70/77,511.15 = 32,286/x
  3. Step 3: Cross multiply
    56,156.70x = 77,511.15 × 32,286
  4. Step 4: Simplify right side
    56,156.70x = 2,502,524,988.90
  5. Step 5: Solve for x
    x = 2,502,524,988.90/56,156.70
  6. Step 6: Final answer
    x = 44,563.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.