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Finding the Fourth Proportional to 75,046.35, 112,595.90 and 46,934.49

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Solution

The fourth proportional to 75,046.35, 112,595.90 and 46,934.49 is: 70,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,046.35 : 112,595.90 = 46,934.49 : x
  2. Step 2: Convert to fraction form
    75,046.35/112,595.90 = 46,934.49/x
  3. Step 3: Cross multiply
    75,046.35x = 112,595.90 × 46,934.49
  4. Step 4: Simplify right side
    75,046.35x = 5,284,630,907.92
  5. Step 5: Solve for x
    x = 5,284,630,907.92/75,046.35
  6. Step 6: Final answer
    x = 70,418.23

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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.