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Finding the Fourth Proportional to 51,019.48, 76,510.86 and 17,731

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Solution

The fourth proportional to 51,019.48, 76,510.86 and 17,731 is: 26,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,019.48 : 76,510.86 = 17,731 : x
  2. Step 2: Convert to fraction form
    51,019.48/76,510.86 = 17,731/x
  3. Step 3: Cross multiply
    51,019.48x = 76,510.86 × 17,731
  4. Step 4: Simplify right side
    51,019.48x = 1,356,614,058.66
  5. Step 5: Solve for x
    x = 1,356,614,058.66/51,019.48
  6. Step 6: Final answer
    x = 26,590.12

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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.