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Finding the Fourth Proportional to 32,203.35, 48,295.60 and 12,477.22

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Solution

The fourth proportional to 32,203.35, 48,295.60 and 12,477.22 is: 18,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.35 : 48,295.60 = 12,477.22 : x
  2. Step 2: Convert to fraction form
    32,203.35/48,295.60 = 12,477.22/x
  3. Step 3: Cross multiply
    32,203.35x = 48,295.60 × 12,477.22
  4. Step 4: Simplify right side
    32,203.35x = 602,594,826.23
  5. Step 5: Solve for x
    x = 602,594,826.23/32,203.35
  6. Step 6: Final answer
    x = 18,712.18

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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.