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Finding the Fourth Proportional to 32,677.43, 49,014.32 and 9,303.26

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Solution

The fourth proportional to 32,677.43, 49,014.32 and 9,303.26 is: 13,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.43 : 49,014.32 = 9,303.26 : x
  2. Step 2: Convert to fraction form
    32,677.43/49,014.32 = 9,303.26/x
  3. Step 3: Cross multiply
    32,677.43x = 49,014.32 × 9,303.26
  4. Step 4: Simplify right side
    32,677.43x = 455,992,671.10
  5. Step 5: Solve for x
    x = 455,992,671.10/32,677.43
  6. Step 6: Final answer
    x = 13,954.36

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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.