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Finding the Fourth Proportional to 52,355.90, 78,504.02 and 35,736.06

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Solution

The fourth proportional to 52,355.90, 78,504.02 and 35,736.06 is: 53,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,355.90 : 78,504.02 = 35,736.06 : x
  2. Step 2: Convert to fraction form
    52,355.90/78,504.02 = 35,736.06/x
  3. Step 3: Cross multiply
    52,355.90x = 78,504.02 × 35,736.06
  4. Step 4: Simplify right side
    52,355.90x = 2,805,424,368.96
  5. Step 5: Solve for x
    x = 2,805,424,368.96/52,355.90
  6. Step 6: Final answer
    x = 53,583.73

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Why These Related Problems?

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