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Finding the Fourth Proportional to 32,774.42, 45,203.01 and 22,432.30

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Solution

The fourth proportional to 32,774.42, 45,203.01 and 22,432.30 is: 30,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.42 : 45,203.01 = 22,432.30 : x
  2. Step 2: Convert to fraction form
    32,774.42/45,203.01 = 22,432.30/x
  3. Step 3: Cross multiply
    32,774.42x = 45,203.01 × 22,432.30
  4. Step 4: Simplify right side
    32,774.42x = 1,014,007,312.45
  5. Step 5: Solve for x
    x = 1,014,007,312.45/32,774.42
  6. Step 6: Final answer
    x = 30,938.99

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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.