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Finding the Fourth Proportional to 32,411.63, 48,625.64 and 9,038.06

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Solution

The fourth proportional to 32,411.63, 48,625.64 and 9,038.06 is: 13,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.63 : 48,625.64 = 9,038.06 : x
  2. Step 2: Convert to fraction form
    32,411.63/48,625.64 = 9,038.06/x
  3. Step 3: Cross multiply
    32,411.63x = 48,625.64 × 9,038.06
  4. Step 4: Simplify right side
    32,411.63x = 439,481,562.12
  5. Step 5: Solve for x
    x = 439,481,562.12/32,411.63
  6. Step 6: Final answer
    x = 13,559.38

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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.