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Finding the Fourth Proportional to 32,838.73, 49,240.46 and 10,345.21

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Solution

The fourth proportional to 32,838.73, 49,240.46 and 10,345.21 is: 15,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.73 : 49,240.46 = 10,345.21 : x
  2. Step 2: Convert to fraction form
    32,838.73/49,240.46 = 10,345.21/x
  3. Step 3: Cross multiply
    32,838.73x = 49,240.46 × 10,345.21
  4. Step 4: Simplify right side
    32,838.73x = 509,402,801.96
  5. Step 5: Solve for x
    x = 509,402,801.96/32,838.73
  6. Step 6: Final answer
    x = 15,512.26

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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.