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Finding the Fourth Proportional to 52,097.50, 78,187.25 and 26,795.98

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Solution

The fourth proportional to 52,097.50, 78,187.25 and 26,795.98 is: 40,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.50 : 78,187.25 = 26,795.98 : x
  2. Step 2: Convert to fraction form
    52,097.50/78,187.25 = 26,795.98/x
  3. Step 3: Cross multiply
    52,097.50x = 78,187.25 × 26,795.98
  4. Step 4: Simplify right side
    52,097.50x = 2,095,103,987.26
  5. Step 5: Solve for x
    x = 2,095,103,987.26/52,097.50
  6. Step 6: Final answer
    x = 40,215.06

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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.