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Finding the Fourth Proportional to 41,617.50, 62,428.07 and 12,038.32

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Solution

The fourth proportional to 41,617.50, 62,428.07 and 12,038.32 is: 18,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,617.50 : 62,428.07 = 12,038.32 : x
  2. Step 2: Convert to fraction form
    41,617.50/62,428.07 = 12,038.32/x
  3. Step 3: Cross multiply
    41,617.50x = 62,428.07 × 12,038.32
  4. Step 4: Simplify right side
    41,617.50x = 751,529,124.06
  5. Step 5: Solve for x
    x = 751,529,124.06/41,617.50
  6. Step 6: Final answer
    x = 18,058.01

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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.