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Finding the Fourth Proportional to 75,858.60, 113,803.74 and 29,111.16

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Solution

The fourth proportional to 75,858.60, 113,803.74 and 29,111.16 is: 43,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,858.60 : 113,803.74 = 29,111.16 : x
  2. Step 2: Convert to fraction form
    75,858.60/113,803.74 = 29,111.16/x
  3. Step 3: Cross multiply
    75,858.60x = 113,803.74 × 29,111.16
  4. Step 4: Simplify right side
    75,858.60x = 3,312,958,883.74
  5. Step 5: Solve for x
    x = 3,312,958,883.74/75,858.60
  6. Step 6: Final answer
    x = 43,672.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.