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Finding the Fourth Proportional to 109,432, 164,163.84 and 34,526.72

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Solution

The fourth proportional to 109,432, 164,163.84 and 34,526.72 is: 51,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,432 : 164,163.84 = 34,526.72 : x
  2. Step 2: Convert to fraction form
    109,432/164,163.84 = 34,526.72/x
  3. Step 3: Cross multiply
    109,432x = 164,163.84 × 34,526.72
  4. Step 4: Simplify right side
    109,432x = 5,668,038,937.80
  5. Step 5: Solve for x
    x = 5,668,038,937.80/109,432
  6. Step 6: Final answer
    x = 51,795.08

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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.