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Finding the Fourth Proportional to 77,562, 116,344.08 and 22,158

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Solution

The fourth proportional to 77,562, 116,344.08 and 22,158 is: 33,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,562 : 116,344.08 = 22,158 : x
  2. Step 2: Convert to fraction form
    77,562/116,344.08 = 22,158/x
  3. Step 3: Cross multiply
    77,562x = 116,344.08 × 22,158
  4. Step 4: Simplify right side
    77,562x = 2,577,952,124.64
  5. Step 5: Solve for x
    x = 2,577,952,124.64/77,562
  6. Step 6: Final answer
    x = 33,237.31

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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.