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Finding the Fourth Proportional to 61,534.11, 92,303.15 and 19,414.59

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Solution

The fourth proportional to 61,534.11, 92,303.15 and 19,414.59 is: 29,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,534.11 : 92,303.15 = 19,414.59 : x
  2. Step 2: Convert to fraction form
    61,534.11/92,303.15 = 19,414.59/x
  3. Step 3: Cross multiply
    61,534.11x = 92,303.15 × 19,414.59
  4. Step 4: Simplify right side
    61,534.11x = 1,792,027,369.75
  5. Step 5: Solve for x
    x = 1,792,027,369.75/61,534.11
  6. Step 6: Final answer
    x = 29,122.50

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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.