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Finding the Fourth Proportional to 35,677, 49,223.20 and 20,567.72

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Solution

The fourth proportional to 35,677, 49,223.20 and 20,567.72 is: 28,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677 : 49,223.20 = 20,567.72 : x
  2. Step 2: Convert to fraction form
    35,677/49,223.20 = 20,567.72/x
  3. Step 3: Cross multiply
    35,677x = 49,223.20 × 20,567.72
  4. Step 4: Simplify right side
    35,677x = 1,012,408,995.10
  5. Step 5: Solve for x
    x = 1,012,408,995.10/35,677
  6. Step 6: Final answer
    x = 28,377.08

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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.