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Finding the Fourth Proportional to 29,731.80, 41,031.12 and 16,303.57

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Solution

The fourth proportional to 29,731.80, 41,031.12 and 16,303.57 is: 22,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731.80 : 41,031.12 = 16,303.57 : x
  2. Step 2: Convert to fraction form
    29,731.80/41,031.12 = 16,303.57/x
  3. Step 3: Cross multiply
    29,731.80x = 41,031.12 × 16,303.57
  4. Step 4: Simplify right side
    29,731.80x = 668,953,737.10
  5. Step 5: Solve for x
    x = 668,953,737.10/29,731.80
  6. Step 6: Final answer
    x = 22,499.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.