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Finding the Fourth Proportional to 64,377.84, 96,588 and 24,935.16

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Solution

The fourth proportional to 64,377.84, 96,588 and 24,935.16 is: 37,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,377.84 : 96,588 = 24,935.16 : x
  2. Step 2: Convert to fraction form
    64,377.84/96,588 = 24,935.16/x
  3. Step 3: Cross multiply
    64,377.84x = 96,588 × 24,935.16
  4. Step 4: Simplify right side
    64,377.84x = 2,408,437,234.08
  5. Step 5: Solve for x
    x = 2,408,437,234.08/64,377.84
  6. Step 6: Final answer
    x = 37,410.97

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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.