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Finding the Fourth Proportional to 63,945, 95,952.06 and 31,113

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Solution

The fourth proportional to 63,945, 95,952.06 and 31,113 is: 46,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,945 : 95,952.06 = 31,113 : x
  2. Step 2: Convert to fraction form
    63,945/95,952.06 = 31,113/x
  3. Step 3: Cross multiply
    63,945x = 95,952.06 × 31,113
  4. Step 4: Simplify right side
    63,945x = 2,985,356,442.78
  5. Step 5: Solve for x
    x = 2,985,356,442.78/63,945
  6. Step 6: Final answer
    x = 46,686.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.