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Finding the Fourth Proportional to 30,657.34, 45,986.01 and 20,772.10

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Solution

The fourth proportional to 30,657.34, 45,986.01 and 20,772.10 is: 31,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.34 : 45,986.01 = 20,772.10 : x
  2. Step 2: Convert to fraction form
    30,657.34/45,986.01 = 20,772.10/x
  3. Step 3: Cross multiply
    30,657.34x = 45,986.01 × 20,772.10
  4. Step 4: Simplify right side
    30,657.34x = 955,225,998.32
  5. Step 5: Solve for x
    x = 955,225,998.32/30,657.34
  6. Step 6: Final answer
    x = 31,158.15

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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.