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Finding the Fourth Proportional to 43,952.65, 65,972.30 and 31,316.45

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Solution

The fourth proportional to 43,952.65, 65,972.30 and 31,316.45 is: 47,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,952.65 : 65,972.30 = 31,316.45 : x
  2. Step 2: Convert to fraction form
    43,952.65/65,972.30 = 31,316.45/x
  3. Step 3: Cross multiply
    43,952.65x = 65,972.30 × 31,316.45
  4. Step 4: Simplify right side
    43,952.65x = 2,066,018,234.34
  5. Step 5: Solve for x
    x = 2,066,018,234.34/43,952.65
  6. Step 6: Final answer
    x = 47,005.54

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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.