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Finding the Fourth Proportional to 55,942.77, 83,894.13 and 18,495.93

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Solution

The fourth proportional to 55,942.77, 83,894.13 and 18,495.93 is: 27,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,942.77 : 83,894.13 = 18,495.93 : x
  2. Step 2: Convert to fraction form
    55,942.77/83,894.13 = 18,495.93/x
  3. Step 3: Cross multiply
    55,942.77x = 83,894.13 × 18,495.93
  4. Step 4: Simplify right side
    55,942.77x = 1,551,699,955.89
  5. Step 5: Solve for x
    x = 1,551,699,955.89/55,942.77
  6. Step 6: Final answer
    x = 27,737.27

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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.