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Finding the Fourth Proportional to 117,097.10, 175,646.10 and 28,350.47

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Solution

The fourth proportional to 117,097.10, 175,646.10 and 28,350.47 is: 42,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,097.10 : 175,646.10 = 28,350.47 : x
  2. Step 2: Convert to fraction form
    117,097.10/175,646.10 = 28,350.47/x
  3. Step 3: Cross multiply
    117,097.10x = 175,646.10 × 28,350.47
  4. Step 4: Simplify right side
    117,097.10x = 4,979,648,610.44
  5. Step 5: Solve for x
    x = 4,979,648,610.44/117,097.10
  6. Step 6: Final answer
    x = 42,525.81

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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.