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Finding the Fourth Proportional to 61,114, 91,686.36 and 17,338

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Solution

The fourth proportional to 61,114, 91,686.36 and 17,338 is: 26,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,114 : 91,686.36 = 17,338 : x
  2. Step 2: Convert to fraction form
    61,114/91,686.36 = 17,338/x
  3. Step 3: Cross multiply
    61,114x = 91,686.36 × 17,338
  4. Step 4: Simplify right side
    61,114x = 1,589,658,109.68
  5. Step 5: Solve for x
    x = 1,589,658,109.68/61,114
  6. Step 6: Final answer
    x = 26,011.36

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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.