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Finding the Fourth Proportional to 83,264, 114,904.41 and 45,538.34

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Solution

The fourth proportional to 83,264, 114,904.41 and 45,538.34 is: 62,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264 : 114,904.41 = 45,538.34 : x
  2. Step 2: Convert to fraction form
    83,264/114,904.41 = 45,538.34/x
  3. Step 3: Cross multiply
    83,264x = 114,904.41 × 45,538.34
  4. Step 4: Simplify right side
    83,264x = 5,232,556,090.08
  5. Step 5: Solve for x
    x = 5,232,556,090.08/83,264
  6. Step 6: Final answer
    x = 62,842.96

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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.