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Finding the Fourth Proportional to 52,564.25, 72,538.73 and 33,701.38

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Solution

The fourth proportional to 52,564.25, 72,538.73 and 33,701.38 is: 46,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,564.25 : 72,538.73 = 33,701.38 : x
  2. Step 2: Convert to fraction form
    52,564.25/72,538.73 = 33,701.38/x
  3. Step 3: Cross multiply
    52,564.25x = 72,538.73 × 33,701.38
  4. Step 4: Simplify right side
    52,564.25x = 2,444,655,304.45
  5. Step 5: Solve for x
    x = 2,444,655,304.45/52,564.25
  6. Step 6: Final answer
    x = 46,507.95

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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.