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Finding the Fourth Proportional to 71,526, 107,254.26 and 21,596.52

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Solution

The fourth proportional to 71,526, 107,254.26 and 21,596.52 is: 32,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,526 : 107,254.26 = 21,596.52 : x
  2. Step 2: Convert to fraction form
    71,526/107,254.26 = 21,596.52/x
  3. Step 3: Cross multiply
    71,526x = 107,254.26 × 21,596.52
  4. Step 4: Simplify right side
    71,526x = 2,316,318,771.18
  5. Step 5: Solve for x
    x = 2,316,318,771.18/71,526
  6. Step 6: Final answer
    x = 32,384.29

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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.