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Finding the Fourth Proportional to 75,284.92, 103,897.92 and 41,750.92

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Solution

The fourth proportional to 75,284.92, 103,897.92 and 41,750.92 is: 57,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.92 : 103,897.92 = 41,750.92 : x
  2. Step 2: Convert to fraction form
    75,284.92/103,897.92 = 41,750.92/x
  3. Step 3: Cross multiply
    75,284.92x = 103,897.92 × 41,750.92
  4. Step 4: Simplify right side
    75,284.92x = 4,337,833,746.09
  5. Step 5: Solve for x
    x = 4,337,833,746.09/75,284.92
  6. Step 6: Final answer
    x = 57,618.89

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1.5x scale

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.