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Finding the Fourth Proportional to 64,745.24, 89,341.99 and 47,758.66

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Solution

The fourth proportional to 64,745.24, 89,341.99 and 47,758.66 is: 65,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,745.24 : 89,341.99 = 47,758.66 : x
  2. Step 2: Convert to fraction form
    64,745.24/89,341.99 = 47,758.66/x
  3. Step 3: Cross multiply
    64,745.24x = 89,341.99 × 47,758.66
  4. Step 4: Simplify right side
    64,745.24x = 4,266,853,381.38
  5. Step 5: Solve for x
    x = 4,266,853,381.38/64,745.24
  6. Step 6: Final answer
    x = 65,902.20

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Why These Related Problems?

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