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Finding the Fourth Proportional to 75,284.67, 112,963.86 and 53,239.71

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Solution

The fourth proportional to 75,284.67, 112,963.86 and 53,239.71 is: 79,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.67 : 112,963.86 = 53,239.71 : x
  2. Step 2: Convert to fraction form
    75,284.67/112,963.86 = 53,239.71/x
  3. Step 3: Cross multiply
    75,284.67x = 112,963.86 × 53,239.71
  4. Step 4: Simplify right side
    75,284.67x = 6,014,163,146.88
  5. Step 5: Solve for x
    x = 6,014,163,146.88/75,284.67
  6. Step 6: Final answer
    x = 79,885.63

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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.