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Finding the Fourth Proportional to 20,038.50, 30,058.16 and 6,187.50

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Solution

The fourth proportional to 20,038.50, 30,058.16 and 6,187.50 is: 9,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.50 : 30,058.16 = 6,187.50 : x
  2. Step 2: Convert to fraction form
    20,038.50/30,058.16 = 6,187.50/x
  3. Step 3: Cross multiply
    20,038.50x = 30,058.16 × 6,187.50
  4. Step 4: Simplify right side
    20,038.50x = 185,984,834.06
  5. Step 5: Solve for x
    x = 185,984,834.06/20,038.50
  6. Step 6: Final answer
    x = 9,281.38

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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.