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Finding the Fourth Proportional to 59,664, 89,496.54 and 18,111

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Solution

The fourth proportional to 59,664, 89,496.54 and 18,111 is: 27,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,664 : 89,496.54 = 18,111 : x
  2. Step 2: Convert to fraction form
    59,664/89,496.54 = 18,111/x
  3. Step 3: Cross multiply
    59,664x = 89,496.54 × 18,111
  4. Step 4: Simplify right side
    59,664x = 1,620,871,835.94
  5. Step 5: Solve for x
    x = 1,620,871,835.94/59,664
  6. Step 6: Final answer
    x = 27,166.66

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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.