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Finding the Fourth Proportional to 30,205.20, 45,307.80 and 29,686.80

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Solution

The fourth proportional to 30,205.20, 45,307.80 and 29,686.80 is: 44,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.20 : 45,307.80 = 29,686.80 : x
  2. Step 2: Convert to fraction form
    30,205.20/45,307.80 = 29,686.80/x
  3. Step 3: Cross multiply
    30,205.20x = 45,307.80 × 29,686.80
  4. Step 4: Simplify right side
    30,205.20x = 1,345,043,597.04
  5. Step 5: Solve for x
    x = 1,345,043,597.04/30,205.20
  6. Step 6: Final answer
    x = 44,530.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.