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Finding the Fourth Proportional to 75,802.32, 113,703.75 and 23,211.60

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Solution

The fourth proportional to 75,802.32, 113,703.75 and 23,211.60 is: 34,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,802.32 : 113,703.75 = 23,211.60 : x
  2. Step 2: Convert to fraction form
    75,802.32/113,703.75 = 23,211.60/x
  3. Step 3: Cross multiply
    75,802.32x = 113,703.75 × 23,211.60
  4. Step 4: Simplify right side
    75,802.32x = 2,639,245,963.50
  5. Step 5: Solve for x
    x = 2,639,245,963.50/75,802.32
  6. Step 6: Final answer
    x = 34,817.48

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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.