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Finding the Fourth Proportional to 32,603.76, 48,911.96 and 13,883.48

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Solution

The fourth proportional to 32,603.76, 48,911.96 and 13,883.48 is: 20,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.76 : 48,911.96 = 13,883.48 : x
  2. Step 2: Convert to fraction form
    32,603.76/48,911.96 = 13,883.48/x
  3. Step 3: Cross multiply
    32,603.76x = 48,911.96 × 13,883.48
  4. Step 4: Simplify right side
    32,603.76x = 679,068,218.42
  5. Step 5: Solve for x
    x = 679,068,218.42/32,603.76
  6. Step 6: Final answer
    x = 20,827.91

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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.