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Finding the Fourth Proportional to 75,142.84, 112,731.54 and 22,553.32

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Solution

The fourth proportional to 75,142.84, 112,731.54 and 22,553.32 is: 33,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.84 : 112,731.54 = 22,553.32 : x
  2. Step 2: Convert to fraction form
    75,142.84/112,731.54 = 22,553.32/x
  3. Step 3: Cross multiply
    75,142.84x = 112,731.54 × 22,553.32
  4. Step 4: Simplify right side
    75,142.84x = 2,542,470,495.71
  5. Step 5: Solve for x
    x = 2,542,470,495.71/75,142.84
  6. Step 6: Final answer
    x = 33,835.17

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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.