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Finding the Fourth Proportional to 32,254.10, 48,362.70 and 12,509.61

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Solution

The fourth proportional to 32,254.10, 48,362.70 and 12,509.61 is: 18,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.10 : 48,362.70 = 12,509.61 : x
  2. Step 2: Convert to fraction form
    32,254.10/48,362.70 = 12,509.61/x
  3. Step 3: Cross multiply
    32,254.10x = 48,362.70 × 12,509.61
  4. Step 4: Simplify right side
    32,254.10x = 604,998,381.10
  5. Step 5: Solve for x
    x = 604,998,381.10/32,254.10
  6. Step 6: Final answer
    x = 18,757.26

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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.