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Finding the Fourth Proportional to 77,398.85, 116,131.10 and 42,297.50

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Solution

The fourth proportional to 77,398.85, 116,131.10 and 42,297.50 is: 63,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,398.85 : 116,131.10 = 42,297.50 : x
  2. Step 2: Convert to fraction form
    77,398.85/116,131.10 = 42,297.50/x
  3. Step 3: Cross multiply
    77,398.85x = 116,131.10 × 42,297.50
  4. Step 4: Simplify right side
    77,398.85x = 4,912,054,410.11
  5. Step 5: Solve for x
    x = 4,912,054,410.11/77,398.85
  6. Step 6: Final answer
    x = 63,464.18

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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.