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Finding the Fourth Proportional to 56,618.32, 84,927.16 and 19,682

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Solution

The fourth proportional to 56,618.32, 84,927.16 and 19,682 is: 29,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,618.32 : 84,927.16 = 19,682 : x
  2. Step 2: Convert to fraction form
    56,618.32/84,927.16 = 19,682/x
  3. Step 3: Cross multiply
    56,618.32x = 84,927.16 × 19,682
  4. Step 4: Simplify right side
    56,618.32x = 1,671,536,363.12
  5. Step 5: Solve for x
    x = 1,671,536,363.12/56,618.32
  6. Step 6: Final answer
    x = 29,522.89

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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.