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Finding the Fourth Proportional to 75,169.98, 103,733.40 and 41,178.18

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Solution

The fourth proportional to 75,169.98, 103,733.40 and 41,178.18 is: 56,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,169.98 : 103,733.40 = 41,178.18 : x
  2. Step 2: Convert to fraction form
    75,169.98/103,733.40 = 41,178.18/x
  3. Step 3: Cross multiply
    75,169.98x = 103,733.40 × 41,178.18
  4. Step 4: Simplify right side
    75,169.98x = 4,271,552,617.21
  5. Step 5: Solve for x
    x = 4,271,552,617.21/75,169.98
  6. Step 6: Final answer
    x = 56,825.25

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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.