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Finding the Fourth Proportional to 75,106.35, 103,646.85 and 46,812

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Solution

The fourth proportional to 75,106.35, 103,646.85 and 46,812 is: 64,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106.35 : 103,646.85 = 46,812 : x
  2. Step 2: Convert to fraction form
    75,106.35/103,646.85 = 46,812/x
  3. Step 3: Cross multiply
    75,106.35x = 103,646.85 × 46,812
  4. Step 4: Simplify right side
    75,106.35x = 4,851,916,342.20
  5. Step 5: Solve for x
    x = 4,851,916,342.20/75,106.35
  6. Step 6: Final answer
    x = 64,600.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.