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Finding the Fourth Proportional to 32,684.14, 49,011.54 and 9,305.02

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Solution

The fourth proportional to 32,684.14, 49,011.54 and 9,305.02 is: 13,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.14 : 49,011.54 = 9,305.02 : x
  2. Step 2: Convert to fraction form
    32,684.14/49,011.54 = 9,305.02/x
  3. Step 3: Cross multiply
    32,684.14x = 49,011.54 × 9,305.02
  4. Step 4: Simplify right side
    32,684.14x = 456,053,359.93
  5. Step 5: Solve for x
    x = 456,053,359.93/32,684.14
  6. Step 6: Final answer
    x = 13,953.35

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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.