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Finding the Fourth Proportional to 32,380.19, 48,583.73 and 15,504.71

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Solution

The fourth proportional to 32,380.19, 48,583.73 and 15,504.71 is: 23,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380.19 : 48,583.73 = 15,504.71 : x
  2. Step 2: Convert to fraction form
    32,380.19/48,583.73 = 15,504.71/x
  3. Step 3: Cross multiply
    32,380.19x = 48,583.73 × 15,504.71
  4. Step 4: Simplify right side
    32,380.19x = 753,276,323.93
  5. Step 5: Solve for x
    x = 753,276,323.93/32,380.19
  6. Step 6: Final answer
    x = 23,263.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.