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Finding the Fourth Proportional to 75,212.40, 103,795.20 and 41,678.40

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Solution

The fourth proportional to 75,212.40, 103,795.20 and 41,678.40 is: 57,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.40 : 103,795.20 = 41,678.40 : x
  2. Step 2: Convert to fraction form
    75,212.40/103,795.20 = 41,678.40/x
  3. Step 3: Cross multiply
    75,212.40x = 103,795.20 × 41,678.40
  4. Step 4: Simplify right side
    75,212.40x = 4,326,017,863.68
  5. Step 5: Solve for x
    x = 4,326,017,863.68/75,212.40
  6. Step 6: Final answer
    x = 57,517.35

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1.5x scale

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.