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Finding the Fourth Proportional to 74,754.82, 112,113.12 and 22,152

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Solution

The fourth proportional to 74,754.82, 112,113.12 and 22,152 is: 33,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,754.82 : 112,113.12 = 22,152 : x
  2. Step 2: Convert to fraction form
    74,754.82/112,113.12 = 22,152/x
  3. Step 3: Cross multiply
    74,754.82x = 112,113.12 × 22,152
  4. Step 4: Simplify right side
    74,754.82x = 2,483,529,834.24
  5. Step 5: Solve for x
    x = 2,483,529,834.24/74,754.82
  6. Step 6: Final answer
    x = 33,222.34

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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.