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Finding the Fourth Proportional to 75,107, 103,670.76 and 43,297.16

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Solution

The fourth proportional to 75,107, 103,670.76 and 43,297.16 is: 59,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107 : 103,670.76 = 43,297.16 : x
  2. Step 2: Convert to fraction form
    75,107/103,670.76 = 43,297.16/x
  3. Step 3: Cross multiply
    75,107x = 103,670.76 × 43,297.16
  4. Step 4: Simplify right side
    75,107x = 4,488,649,483.04
  5. Step 5: Solve for x
    x = 4,488,649,483.04/75,107
  6. Step 6: Final answer
    x = 59,763.40

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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.