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Finding the Fourth Proportional to 75,506.40, 113,077.44 and 59,656.32

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Solution

The fourth proportional to 75,506.40, 113,077.44 and 59,656.32 is: 89,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,506.40 : 113,077.44 = 59,656.32 : x
  2. Step 2: Convert to fraction form
    75,506.40/113,077.44 = 59,656.32/x
  3. Step 3: Cross multiply
    75,506.40x = 113,077.44 × 59,656.32
  4. Step 4: Simplify right side
    75,506.40x = 6,745,783,945.42
  5. Step 5: Solve for x
    x = 6,745,783,945.42/75,506.40
  6. Step 6: Final answer
    x = 89,340.56

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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.