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Finding the Fourth Proportional to 75,808.14, 113,672 and 23,203.50

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Solution

The fourth proportional to 75,808.14, 113,672 and 23,203.50 is: 34,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,808.14 : 113,672 = 23,203.50 : x
  2. Step 2: Convert to fraction form
    75,808.14/113,672 = 23,203.50/x
  3. Step 3: Cross multiply
    75,808.14x = 113,672 × 23,203.50
  4. Step 4: Simplify right side
    75,808.14x = 2,637,588,252
  5. Step 5: Solve for x
    x = 2,637,588,252/75,808.14
  6. Step 6: Final answer
    x = 34,792.94

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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.