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Finding the Fourth Proportional to 29,205, 43,802.70 and 8,146.46

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Solution

The fourth proportional to 29,205, 43,802.70 and 8,146.46 is: 12,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,205 : 43,802.70 = 8,146.46 : x
  2. Step 2: Convert to fraction form
    29,205/43,802.70 = 8,146.46/x
  3. Step 3: Cross multiply
    29,205x = 43,802.70 × 8,146.46
  4. Step 4: Simplify right side
    29,205x = 356,837,052.95
  5. Step 5: Solve for x
    x = 356,837,052.95/29,205
  6. Step 6: Final answer
    x = 12,218.35

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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.