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Finding the Fourth Proportional to 78,275.82, 117,317.50 and 36,097.34

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Solution

The fourth proportional to 78,275.82, 117,317.50 and 36,097.34 is: 54,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,275.82 : 117,317.50 = 36,097.34 : x
  2. Step 2: Convert to fraction form
    78,275.82/117,317.50 = 36,097.34/x
  3. Step 3: Cross multiply
    78,275.82x = 117,317.50 × 36,097.34
  4. Step 4: Simplify right side
    78,275.82x = 4,234,849,685.45
  5. Step 5: Solve for x
    x = 4,234,849,685.45/78,275.82
  6. Step 6: Final answer
    x = 54,101.63

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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.