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Finding the Fourth Proportional to 109,443.57, 164,172.24 and 34,566.66

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Solution

The fourth proportional to 109,443.57, 164,172.24 and 34,566.66 is: 51,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,443.57 : 164,172.24 = 34,566.66 : x
  2. Step 2: Convert to fraction form
    109,443.57/164,172.24 = 34,566.66/x
  3. Step 3: Cross multiply
    109,443.57x = 164,172.24 × 34,566.66
  4. Step 4: Simplify right side
    109,443.57x = 5,674,886,001.52
  5. Step 5: Solve for x
    x = 5,674,886,001.52/109,443.57
  6. Step 6: Final answer
    x = 51,852.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.