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Finding the Fourth Proportional to 74,791.96, 112,184.82 and 30,417

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Solution

The fourth proportional to 74,791.96, 112,184.82 and 30,417 is: 45,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,791.96 : 112,184.82 = 30,417 : x
  2. Step 2: Convert to fraction form
    74,791.96/112,184.82 = 30,417/x
  3. Step 3: Cross multiply
    74,791.96x = 112,184.82 × 30,417
  4. Step 4: Simplify right side
    74,791.96x = 3,412,325,669.94
  5. Step 5: Solve for x
    x = 3,412,325,669.94/74,791.96
  6. Step 6: Final answer
    x = 45,624.23

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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.