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Finding the Fourth Proportional to 75,642.14, 104,400.16 and 43,811.03

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Solution

The fourth proportional to 75,642.14, 104,400.16 and 43,811.03 is: 60,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.14 : 104,400.16 = 43,811.03 : x
  2. Step 2: Convert to fraction form
    75,642.14/104,400.16 = 43,811.03/x
  3. Step 3: Cross multiply
    75,642.14x = 104,400.16 × 43,811.03
  4. Step 4: Simplify right side
    75,642.14x = 4,573,878,322.71
  5. Step 5: Solve for x
    x = 4,573,878,322.71/75,642.14
  6. Step 6: Final answer
    x = 60,467.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.