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Finding the Fourth Proportional to 55,663.50, 83,500.14 and 14,110.50

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Solution

The fourth proportional to 55,663.50, 83,500.14 and 14,110.50 is: 21,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,663.50 : 83,500.14 = 14,110.50 : x
  2. Step 2: Convert to fraction form
    55,663.50/83,500.14 = 14,110.50/x
  3. Step 3: Cross multiply
    55,663.50x = 83,500.14 × 14,110.50
  4. Step 4: Simplify right side
    55,663.50x = 1,178,228,725.47
  5. Step 5: Solve for x
    x = 1,178,228,725.47/55,663.50
  6. Step 6: Final answer
    x = 21,166.99

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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.