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Finding the Fourth Proportional to 19,372.50, 29,058.75 and 5,521.50

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Solution

The fourth proportional to 19,372.50, 29,058.75 and 5,521.50 is: 8,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,372.50 : 29,058.75 = 5,521.50 : x
  2. Step 2: Convert to fraction form
    19,372.50/29,058.75 = 5,521.50/x
  3. Step 3: Cross multiply
    19,372.50x = 29,058.75 × 5,521.50
  4. Step 4: Simplify right side
    19,372.50x = 160,447,888.13
  5. Step 5: Solve for x
    x = 160,447,888.13/19,372.50
  6. Step 6: Final answer
    x = 8,282.25

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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.