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Finding the Fourth Proportional to 72,020.11, 99,314.01 and 47,812.56

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Solution

The fourth proportional to 72,020.11, 99,314.01 and 47,812.56 is: 65,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,020.11 : 99,314.01 = 47,812.56 : x
  2. Step 2: Convert to fraction form
    72,020.11/99,314.01 = 47,812.56/x
  3. Step 3: Cross multiply
    72,020.11x = 99,314.01 × 47,812.56
  4. Step 4: Simplify right side
    72,020.11x = 4,748,457,061.97
  5. Step 5: Solve for x
    x = 4,748,457,061.97/72,020.11
  6. Step 6: Final answer
    x = 65,932.38

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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.