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Finding the Fourth Proportional to 32,774.03, 49,157.80 and 13,047.29

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Solution

The fourth proportional to 32,774.03, 49,157.80 and 13,047.29 is: 19,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.03 : 49,157.80 = 13,047.29 : x
  2. Step 2: Convert to fraction form
    32,774.03/49,157.80 = 13,047.29/x
  3. Step 3: Cross multiply
    32,774.03x = 49,157.80 × 13,047.29
  4. Step 4: Simplify right side
    32,774.03x = 641,375,761.34
  5. Step 5: Solve for x
    x = 641,375,761.34/32,774.03
  6. Step 6: Final answer
    x = 19,569.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.