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Finding the Fourth Proportional to 75,153, 103,714.38 and 41,619

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Solution

The fourth proportional to 75,153, 103,714.38 and 41,619 is: 57,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,153 : 103,714.38 = 41,619 : x
  2. Step 2: Convert to fraction form
    75,153/103,714.38 = 41,619/x
  3. Step 3: Cross multiply
    75,153x = 103,714.38 × 41,619
  4. Step 4: Simplify right side
    75,153x = 4,316,488,781.22
  5. Step 5: Solve for x
    x = 4,316,488,781.22/75,153
  6. Step 6: Final answer
    x = 57,436.01

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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.