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Finding the Fourth Proportional to 55,411.32, 76,468.86 and 33,051

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Solution

The fourth proportional to 55,411.32, 76,468.86 and 33,051 is: 45,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,411.32 : 76,468.86 = 33,051 : x
  2. Step 2: Convert to fraction form
    55,411.32/76,468.86 = 33,051/x
  3. Step 3: Cross multiply
    55,411.32x = 76,468.86 × 33,051
  4. Step 4: Simplify right side
    55,411.32x = 2,527,372,291.86
  5. Step 5: Solve for x
    x = 2,527,372,291.86/55,411.32
  6. Step 6: Final answer
    x = 45,611.12

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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.