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Finding the Fourth Proportional to 55,933, 83,911.02 and 23,101

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Solution

The fourth proportional to 55,933, 83,911.02 and 23,101 is: 34,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,933 : 83,911.02 = 23,101 : x
  2. Step 2: Convert to fraction form
    55,933/83,911.02 = 23,101/x
  3. Step 3: Cross multiply
    55,933x = 83,911.02 × 23,101
  4. Step 4: Simplify right side
    55,933x = 1,938,428,473.02
  5. Step 5: Solve for x
    x = 1,938,428,473.02/55,933
  6. Step 6: Final answer
    x = 34,656.26

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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.