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Finding the Fourth Proportional to 76,233, 105,201.54 and 42,699

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Solution

The fourth proportional to 76,233, 105,201.54 and 42,699 is: 58,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,233 : 105,201.54 = 42,699 : x
  2. Step 2: Convert to fraction form
    76,233/105,201.54 = 42,699/x
  3. Step 3: Cross multiply
    76,233x = 105,201.54 × 42,699
  4. Step 4: Simplify right side
    76,233x = 4,492,000,556.46
  5. Step 5: Solve for x
    x = 4,492,000,556.46/76,233
  6. Step 6: Final answer
    x = 58,924.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.