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Finding the Fourth Proportional to 32,774.64, 45,234.81 and 19,345.02

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Solution

The fourth proportional to 32,774.64, 45,234.81 and 19,345.02 is: 26,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.64 : 45,234.81 = 19,345.02 : x
  2. Step 2: Convert to fraction form
    32,774.64/45,234.81 = 19,345.02/x
  3. Step 3: Cross multiply
    32,774.64x = 45,234.81 × 19,345.02
  4. Step 4: Simplify right side
    32,774.64x = 875,068,304.15
  5. Step 5: Solve for x
    x = 875,068,304.15/32,774.64
  6. Step 6: Final answer
    x = 26,699.56

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Why These Related Problems?

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