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Finding the Fourth Proportional to 29,712.79, 44,537.82 and 10,980.82

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Solution

The fourth proportional to 29,712.79, 44,537.82 and 10,980.82 is: 16,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.79 : 44,537.82 = 10,980.82 : x
  2. Step 2: Convert to fraction form
    29,712.79/44,537.82 = 10,980.82/x
  3. Step 3: Cross multiply
    29,712.79x = 44,537.82 × 10,980.82
  4. Step 4: Simplify right side
    29,712.79x = 489,061,784.61
  5. Step 5: Solve for x
    x = 489,061,784.61/29,712.79
  6. Step 6: Final answer
    x = 16,459.64

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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.