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Finding the Fourth Proportional to 32,497.66, 48,746.49 and 11,721.16

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Solution

The fourth proportional to 32,497.66, 48,746.49 and 11,721.16 is: 17,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.66 : 48,746.49 = 11,721.16 : x
  2. Step 2: Convert to fraction form
    32,497.66/48,746.49 = 11,721.16/x
  3. Step 3: Cross multiply
    32,497.66x = 48,746.49 × 11,721.16
  4. Step 4: Simplify right side
    32,497.66x = 571,365,408.73
  5. Step 5: Solve for x
    x = 571,365,408.73/32,497.66
  6. Step 6: Final answer
    x = 17,581.74

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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.