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Finding the Fourth Proportional to 75,495.78, 113,160.63 and 31,098.32

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Solution

The fourth proportional to 75,495.78, 113,160.63 and 31,098.32 is: 46,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,495.78 : 113,160.63 = 31,098.32 : x
  2. Step 2: Convert to fraction form
    75,495.78/113,160.63 = 31,098.32/x
  3. Step 3: Cross multiply
    75,495.78x = 113,160.63 × 31,098.32
  4. Step 4: Simplify right side
    75,495.78x = 3,519,105,458.31
  5. Step 5: Solve for x
    x = 3,519,105,458.31/75,495.78
  6. Step 6: Final answer
    x = 46,613.27

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1.5x scale

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.