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Finding the Fourth Proportional to 56,648.17, 78,184.26 and 32,788

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Solution

The fourth proportional to 56,648.17, 78,184.26 and 32,788 is: 45,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,648.17 : 78,184.26 = 32,788 : x
  2. Step 2: Convert to fraction form
    56,648.17/78,184.26 = 32,788/x
  3. Step 3: Cross multiply
    56,648.17x = 78,184.26 × 32,788
  4. Step 4: Simplify right side
    56,648.17x = 2,563,505,516.88
  5. Step 5: Solve for x
    x = 2,563,505,516.88/56,648.17
  6. Step 6: Final answer
    x = 45,253.10

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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.