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Finding the Fourth Proportional to 29,553.12, 44,335.08 and 9,829.80

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Solution

The fourth proportional to 29,553.12, 44,335.08 and 9,829.80 is: 14,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,553.12 : 44,335.08 = 9,829.80 : x
  2. Step 2: Convert to fraction form
    29,553.12/44,335.08 = 9,829.80/x
  3. Step 3: Cross multiply
    29,553.12x = 44,335.08 × 9,829.80
  4. Step 4: Simplify right side
    29,553.12x = 435,804,969.38
  5. Step 5: Solve for x
    x = 435,804,969.38/29,553.12
  6. Step 6: Final answer
    x = 14,746.50

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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.