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Finding the Fourth Proportional to 29,467.80, 44,205.12 and 9,746.51

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Solution

The fourth proportional to 29,467.80, 44,205.12 and 9,746.51 is: 14,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467.80 : 44,205.12 = 9,746.51 : x
  2. Step 2: Convert to fraction form
    29,467.80/44,205.12 = 9,746.51/x
  3. Step 3: Cross multiply
    29,467.80x = 44,205.12 × 9,746.51
  4. Step 4: Simplify right side
    29,467.80x = 430,845,423.11
  5. Step 5: Solve for x
    x = 430,845,423.11/29,467.80
  6. Step 6: Final answer
    x = 14,620.89

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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.