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Finding the Fourth Proportional to 32,706, 49,059.47 and 9,332.44

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Solution

The fourth proportional to 32,706, 49,059.47 and 9,332.44 is: 13,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706 : 49,059.47 = 9,332.44 : x
  2. Step 2: Convert to fraction form
    32,706/49,059.47 = 9,332.44/x
  3. Step 3: Cross multiply
    32,706x = 49,059.47 × 9,332.44
  4. Step 4: Simplify right side
    32,706x = 457,844,460.89
  5. Step 5: Solve for x
    x = 457,844,460.89/32,706
  6. Step 6: Final answer
    x = 13,998.79

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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.