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Finding the Fourth Proportional to 32,513.52, 48,835.85 and 19,391.52

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Solution

The fourth proportional to 32,513.52, 48,835.85 and 19,391.52 is: 29,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.52 : 48,835.85 = 19,391.52 : x
  2. Step 2: Convert to fraction form
    32,513.52/48,835.85 = 19,391.52/x
  3. Step 3: Cross multiply
    32,513.52x = 48,835.85 × 19,391.52
  4. Step 4: Simplify right side
    32,513.52x = 947,001,265.03
  5. Step 5: Solve for x
    x = 947,001,265.03/32,513.52
  6. Step 6: Final answer
    x = 29,126.38

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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.