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Finding the Fourth Proportional to 59,406.82, 89,102.77 and 19,422.46

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Solution

The fourth proportional to 59,406.82, 89,102.77 and 19,422.46 is: 29,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,406.82 : 89,102.77 = 19,422.46 : x
  2. Step 2: Convert to fraction form
    59,406.82/89,102.77 = 19,422.46/x
  3. Step 3: Cross multiply
    59,406.82x = 89,102.77 × 19,422.46
  4. Step 4: Simplify right side
    59,406.82x = 1,730,594,986.21
  5. Step 5: Solve for x
    x = 1,730,594,986.21/59,406.82
  6. Step 6: Final answer
    x = 29,131.25

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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.