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Finding the Fourth Proportional to 32,305.40, 48,422.10 and 12,577.40

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Solution

The fourth proportional to 32,305.40, 48,422.10 and 12,577.40 is: 18,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.40 : 48,422.10 = 12,577.40 : x
  2. Step 2: Convert to fraction form
    32,305.40/48,422.10 = 12,577.40/x
  3. Step 3: Cross multiply
    32,305.40x = 48,422.10 × 12,577.40
  4. Step 4: Simplify right side
    32,305.40x = 609,024,120.54
  5. Step 5: Solve for x
    x = 609,024,120.54/32,305.40
  6. Step 6: Final answer
    x = 18,852.08

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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.