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Finding the Fourth Proportional to 53,500.38, 73,806.03 and 34,643.58

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Solution

The fourth proportional to 53,500.38, 73,806.03 and 34,643.58 is: 47,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500.38 : 73,806.03 = 34,643.58 : x
  2. Step 2: Convert to fraction form
    53,500.38/73,806.03 = 34,643.58/x
  3. Step 3: Cross multiply
    53,500.38x = 73,806.03 × 34,643.58
  4. Step 4: Simplify right side
    53,500.38x = 2,556,905,104.79
  5. Step 5: Solve for x
    x = 2,556,905,104.79/53,500.38
  6. Step 6: Final answer
    x = 47,792.28

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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.