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Finding the Fourth Proportional to 41,607, 62,410.50 and 13,905

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Solution

The fourth proportional to 41,607, 62,410.50 and 13,905 is: 20,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,607 : 62,410.50 = 13,905 : x
  2. Step 2: Convert to fraction form
    41,607/62,410.50 = 13,905/x
  3. Step 3: Cross multiply
    41,607x = 62,410.50 × 13,905
  4. Step 4: Simplify right side
    41,607x = 867,818,002.50
  5. Step 5: Solve for x
    x = 867,818,002.50/41,607
  6. Step 6: Final answer
    x = 20,857.50

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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.