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Finding the Fourth Proportional to 29,852.87, 44,763.10 and 14,827.03

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Solution

The fourth proportional to 29,852.87, 44,763.10 and 14,827.03 is: 22,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852.87 : 44,763.10 = 14,827.03 : x
  2. Step 2: Convert to fraction form
    29,852.87/44,763.10 = 14,827.03/x
  3. Step 3: Cross multiply
    29,852.87x = 44,763.10 × 14,827.03
  4. Step 4: Simplify right side
    29,852.87x = 663,703,528.64
  5. Step 5: Solve for x
    x = 663,703,528.64/29,852.87
  6. Step 6: Final answer
    x = 22,232.49

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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.