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Finding the Fourth Proportional to 32,483.80, 48,725.70 and 9,114.20

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Solution

The fourth proportional to 32,483.80, 48,725.70 and 9,114.20 is: 13,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.80 : 48,725.70 = 9,114.20 : x
  2. Step 2: Convert to fraction form
    32,483.80/48,725.70 = 9,114.20/x
  3. Step 3: Cross multiply
    32,483.80x = 48,725.70 × 9,114.20
  4. Step 4: Simplify right side
    32,483.80x = 444,095,774.94
  5. Step 5: Solve for x
    x = 444,095,774.94/32,483.80
  6. Step 6: Final answer
    x = 13,671.30

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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.