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Finding the Fourth Proportional to 29,772.40, 44,663.10 and 9,775.24

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Solution

The fourth proportional to 29,772.40, 44,663.10 and 9,775.24 is: 14,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.40 : 44,663.10 = 9,775.24 : x
  2. Step 2: Convert to fraction form
    29,772.40/44,663.10 = 9,775.24/x
  3. Step 3: Cross multiply
    29,772.40x = 44,663.10 × 9,775.24
  4. Step 4: Simplify right side
    29,772.40x = 436,592,521.64
  5. Step 5: Solve for x
    x = 436,592,521.64/29,772.40
  6. Step 6: Final answer
    x = 14,664.34

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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.