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Finding the Fourth Proportional to 51,095.61, 76,647.06 and 17,824.05

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Solution

The fourth proportional to 51,095.61, 76,647.06 and 17,824.05 is: 26,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,095.61 : 76,647.06 = 17,824.05 : x
  2. Step 2: Convert to fraction form
    51,095.61/76,647.06 = 17,824.05/x
  3. Step 3: Cross multiply
    51,095.61x = 76,647.06 × 17,824.05
  4. Step 4: Simplify right side
    51,095.61x = 1,366,161,029.79
  5. Step 5: Solve for x
    x = 1,366,161,029.79/51,095.61
  6. Step 6: Final answer
    x = 26,737.35

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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.