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Finding the Fourth Proportional to 52,536, 78,825.60 and 38,567.52

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Solution

The fourth proportional to 52,536, 78,825.60 and 38,567.52 is: 57,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,536 : 78,825.60 = 38,567.52 : x
  2. Step 2: Convert to fraction form
    52,536/78,825.60 = 38,567.52/x
  3. Step 3: Cross multiply
    52,536x = 78,825.60 × 38,567.52
  4. Step 4: Simplify right side
    52,536x = 3,040,107,904.51
  5. Step 5: Solve for x
    x = 3,040,107,904.51/52,536
  6. Step 6: Final answer
    x = 57,867.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.