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Finding the Fourth Proportional to 77,526, 116,290.08 and 22,122

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Solution

The fourth proportional to 77,526, 116,290.08 and 22,122 is: 33,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,526 : 116,290.08 = 22,122 : x
  2. Step 2: Convert to fraction form
    77,526/116,290.08 = 22,122/x
  3. Step 3: Cross multiply
    77,526x = 116,290.08 × 22,122
  4. Step 4: Simplify right side
    77,526x = 2,572,569,149.76
  5. Step 5: Solve for x
    x = 2,572,569,149.76/77,526
  6. Step 6: Final answer
    x = 33,183.31

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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.