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Finding the Fourth Proportional to 75,153.42, 103,711.77 and 41,619.42

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Solution

The fourth proportional to 75,153.42, 103,711.77 and 41,619.42 is: 57,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,153.42 : 103,711.77 = 41,619.42 : x
  2. Step 2: Convert to fraction form
    75,153.42/103,711.77 = 41,619.42/x
  3. Step 3: Cross multiply
    75,153.42x = 103,711.77 × 41,619.42
  4. Step 4: Simplify right side
    75,153.42x = 4,316,423,714.57
  5. Step 5: Solve for x
    x = 4,316,423,714.57/75,153.42
  6. Step 6: Final answer
    x = 57,434.83

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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.