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Finding the Fourth Proportional to 35,538.54, 53,035.82 and 31,747.75

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Solution

The fourth proportional to 35,538.54, 53,035.82 and 31,747.75 is: 47,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,538.54 : 53,035.82 = 31,747.75 : x
  2. Step 2: Convert to fraction form
    35,538.54/53,035.82 = 31,747.75/x
  3. Step 3: Cross multiply
    35,538.54x = 53,035.82 × 31,747.75
  4. Step 4: Simplify right side
    35,538.54x = 1,683,768,080.46
  5. Step 5: Solve for x
    x = 1,683,768,080.46/35,538.54
  6. Step 6: Final answer
    x = 47,378.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.