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Finding the Fourth Proportional to 75,403.36, 113,215.44 and 42,188.32

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Solution

The fourth proportional to 75,403.36, 113,215.44 and 42,188.32 is: 63,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,403.36 : 113,215.44 = 42,188.32 : x
  2. Step 2: Convert to fraction form
    75,403.36/113,215.44 = 42,188.32/x
  3. Step 3: Cross multiply
    75,403.36x = 113,215.44 × 42,188.32
  4. Step 4: Simplify right side
    75,403.36x = 4,776,369,211.66
  5. Step 5: Solve for x
    x = 4,776,369,211.66/75,403.36
  6. Step 6: Final answer
    x = 63,344.25

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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.