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Finding the Fourth Proportional to 56,772.24, 78,339.72 and 32,906.40

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Solution

The fourth proportional to 56,772.24, 78,339.72 and 32,906.40 is: 45,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,772.24 : 78,339.72 = 32,906.40 : x
  2. Step 2: Convert to fraction form
    56,772.24/78,339.72 = 32,906.40/x
  3. Step 3: Cross multiply
    56,772.24x = 78,339.72 × 32,906.40
  4. Step 4: Simplify right side
    56,772.24x = 2,577,878,162.21
  5. Step 5: Solve for x
    x = 2,577,878,162.21/56,772.24
  6. Step 6: Final answer
    x = 45,407.37

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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.