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Finding the Fourth Proportional to 56,102.45, 77,428.24 and 32,229.08

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Solution

The fourth proportional to 56,102.45, 77,428.24 and 32,229.08 is: 44,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,102.45 : 77,428.24 = 32,229.08 : x
  2. Step 2: Convert to fraction form
    56,102.45/77,428.24 = 32,229.08/x
  3. Step 3: Cross multiply
    56,102.45x = 77,428.24 × 32,229.08
  4. Step 4: Simplify right side
    56,102.45x = 2,495,440,473.51
  5. Step 5: Solve for x
    x = 2,495,440,473.51/56,102.45
  6. Step 6: Final answer
    x = 44,480.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.