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Finding the Fourth Proportional to 51,803, 77,706.18 and 14,363.48

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Solution

The fourth proportional to 51,803, 77,706.18 and 14,363.48 is: 21,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803 : 77,706.18 = 14,363.48 : x
  2. Step 2: Convert to fraction form
    51,803/77,706.18 = 14,363.48/x
  3. Step 3: Cross multiply
    51,803x = 77,706.18 × 14,363.48
  4. Step 4: Simplify right side
    51,803x = 1,116,131,162.31
  5. Step 5: Solve for x
    x = 1,116,131,162.31/51,803
  6. Step 6: Final answer
    x = 21,545.69

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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.