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Finding the Fourth Proportional to 32,411.75, 48,625.83 and 9,038.19

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Solution

The fourth proportional to 32,411.75, 48,625.83 and 9,038.19 is: 13,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.75 : 48,625.83 = 9,038.19 : x
  2. Step 2: Convert to fraction form
    32,411.75/48,625.83 = 9,038.19/x
  3. Step 3: Cross multiply
    32,411.75x = 48,625.83 × 9,038.19
  4. Step 4: Simplify right side
    32,411.75x = 439,489,445.26
  5. Step 5: Solve for x
    x = 439,489,445.26/32,411.75
  6. Step 6: Final answer
    x = 13,559.57

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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.