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Finding the Fourth Proportional to 56,410.96, 77,837.24 and 32,200.86

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Solution

The fourth proportional to 56,410.96, 77,837.24 and 32,200.86 is: 44,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,410.96 : 77,837.24 = 32,200.86 : x
  2. Step 2: Convert to fraction form
    56,410.96/77,837.24 = 32,200.86/x
  3. Step 3: Cross multiply
    56,410.96x = 77,837.24 × 32,200.86
  4. Step 4: Simplify right side
    56,410.96x = 2,506,426,068.03
  5. Step 5: Solve for x
    x = 2,506,426,068.03/56,410.96
  6. Step 6: Final answer
    x = 44,431.54

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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.