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Finding the Fourth Proportional to 35,531.32, 49,017.84 and 20,420.50

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Solution

The fourth proportional to 35,531.32, 49,017.84 and 20,420.50 is: 28,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,531.32 : 49,017.84 = 20,420.50 : x
  2. Step 2: Convert to fraction form
    35,531.32/49,017.84 = 20,420.50/x
  3. Step 3: Cross multiply
    35,531.32x = 49,017.84 × 20,420.50
  4. Step 4: Simplify right side
    35,531.32x = 1,000,968,801.72
  5. Step 5: Solve for x
    x = 1,000,968,801.72/35,531.32
  6. Step 6: Final answer
    x = 28,171.45

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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.