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Finding the Fourth Proportional to 75,335.60, 112,873.80 and 49,026.80

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Solution

The fourth proportional to 75,335.60, 112,873.80 and 49,026.80 is: 73,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,335.60 : 112,873.80 = 49,026.80 : x
  2. Step 2: Convert to fraction form
    75,335.60/112,873.80 = 49,026.80/x
  3. Step 3: Cross multiply
    75,335.60x = 112,873.80 × 49,026.80
  4. Step 4: Simplify right side
    75,335.60x = 5,533,841,217.84
  5. Step 5: Solve for x
    x = 5,533,841,217.84/75,335.60
  6. Step 6: Final answer
    x = 73,455.86

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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.