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Finding the Fourth Proportional to 109,754.76, 164,614.98 and 34,865.07

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Solution

The fourth proportional to 109,754.76, 164,614.98 and 34,865.07 is: 52,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.76 : 164,614.98 = 34,865.07 : x
  2. Step 2: Convert to fraction form
    109,754.76/164,614.98 = 34,865.07/x
  3. Step 3: Cross multiply
    109,754.76x = 164,614.98 × 34,865.07
  4. Step 4: Simplify right side
    109,754.76x = 5,739,312,314.19
  5. Step 5: Solve for x
    x = 5,739,312,314.19/109,754.76
  6. Step 6: Final answer
    x = 52,292.15

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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.