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Finding the Fourth Proportional to 75,097.44, 112,610.16 and 28,320.48

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Solution

The fourth proportional to 75,097.44, 112,610.16 and 28,320.48 is: 42,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,097.44 : 112,610.16 = 28,320.48 : x
  2. Step 2: Convert to fraction form
    75,097.44/112,610.16 = 28,320.48/x
  3. Step 3: Cross multiply
    75,097.44x = 112,610.16 × 28,320.48
  4. Step 4: Simplify right side
    75,097.44x = 3,189,173,784.08
  5. Step 5: Solve for x
    x = 3,189,173,784.08/75,097.44
  6. Step 6: Final answer
    x = 42,467.14

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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.