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Finding the Fourth Proportional to 32,484.38, 44,829.32 and 19,733.22

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Solution

The fourth proportional to 32,484.38, 44,829.32 and 19,733.22 is: 27,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.38 : 44,829.32 = 19,733.22 : x
  2. Step 2: Convert to fraction form
    32,484.38/44,829.32 = 19,733.22/x
  3. Step 3: Cross multiply
    32,484.38x = 44,829.32 × 19,733.22
  4. Step 4: Simplify right side
    32,484.38x = 884,626,735.34
  5. Step 5: Solve for x
    x = 884,626,735.34/32,484.38
  6. Step 6: Final answer
    x = 27,232.38

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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.