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Finding the Fourth Proportional to 29,881.25, 44,822.13 and 8,533.91

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Solution

The fourth proportional to 29,881.25, 44,822.13 and 8,533.91 is: 12,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,881.25 : 44,822.13 = 8,533.91 : x
  2. Step 2: Convert to fraction form
    29,881.25/44,822.13 = 8,533.91/x
  3. Step 3: Cross multiply
    29,881.25x = 44,822.13 × 8,533.91
  4. Step 4: Simplify right side
    29,881.25x = 382,507,799.32
  5. Step 5: Solve for x
    x = 382,507,799.32/29,881.25
  6. Step 6: Final answer
    x = 12,800.93

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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.