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Finding the Fourth Proportional to 32,303.09, 48,454.83 and 10,114.76

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Solution

The fourth proportional to 32,303.09, 48,454.83 and 10,114.76 is: 15,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,303.09 : 48,454.83 = 10,114.76 : x
  2. Step 2: Convert to fraction form
    32,303.09/48,454.83 = 10,114.76/x
  3. Step 3: Cross multiply
    32,303.09x = 48,454.83 × 10,114.76
  4. Step 4: Simplify right side
    32,303.09x = 490,108,734.02
  5. Step 5: Solve for x
    x = 490,108,734.02/32,303.09
  6. Step 6: Final answer
    x = 15,172.20

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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.