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Finding the Fourth Proportional to 29,188.83, 43,787.34 and 9,461.01

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Solution

The fourth proportional to 29,188.83, 43,787.34 and 9,461.01 is: 14,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,188.83 : 43,787.34 = 9,461.01 : x
  2. Step 2: Convert to fraction form
    29,188.83/43,787.34 = 9,461.01/x
  3. Step 3: Cross multiply
    29,188.83x = 43,787.34 × 9,461.01
  4. Step 4: Simplify right side
    29,188.83x = 414,272,461.61
  5. Step 5: Solve for x
    x = 414,272,461.61/29,188.83
  6. Step 6: Final answer
    x = 14,192.84

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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.