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Finding the Fourth Proportional to 75,623.71, 113,435.59 and 31,201.66

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Solution

The fourth proportional to 75,623.71, 113,435.59 and 31,201.66 is: 46,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,623.71 : 113,435.59 = 31,201.66 : x
  2. Step 2: Convert to fraction form
    75,623.71/113,435.59 = 31,201.66/x
  3. Step 3: Cross multiply
    75,623.71x = 113,435.59 × 31,201.66
  4. Step 4: Simplify right side
    75,623.71x = 3,539,378,711.08
  5. Step 5: Solve for x
    x = 3,539,378,711.08/75,623.71
  6. Step 6: Final answer
    x = 46,802.50

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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.