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Finding the Fourth Proportional to 73,111.50, 109,672.74 and 41,509.35

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Solution

The fourth proportional to 73,111.50, 109,672.74 and 41,509.35 is: 62,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,111.50 : 109,672.74 = 41,509.35 : x
  2. Step 2: Convert to fraction form
    73,111.50/109,672.74 = 41,509.35/x
  3. Step 3: Cross multiply
    73,111.50x = 109,672.74 × 41,509.35
  4. Step 4: Simplify right side
    73,111.50x = 4,552,444,150.12
  5. Step 5: Solve for x
    x = 4,552,444,150.12/73,111.50
  6. Step 6: Final answer
    x = 62,267.14

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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.