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Finding the Fourth Proportional to 75,106, 103,669.38 and 43,296.16

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Solution

The fourth proportional to 75,106, 103,669.38 and 43,296.16 is: 59,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106 : 103,669.38 = 43,296.16 : x
  2. Step 2: Convert to fraction form
    75,106/103,669.38 = 43,296.16/x
  3. Step 3: Cross multiply
    75,106x = 103,669.38 × 43,296.16
  4. Step 4: Simplify right side
    75,106x = 4,488,486,063.58
  5. Step 5: Solve for x
    x = 4,488,486,063.58/75,106
  6. Step 6: Final answer
    x = 59,762.02

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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.