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Finding the Fourth Proportional to 32,935.68, 49,410.72 and 13,214.88

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Solution

The fourth proportional to 32,935.68, 49,410.72 and 13,214.88 is: 19,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,935.68 : 49,410.72 = 13,214.88 : x
  2. Step 2: Convert to fraction form
    32,935.68/49,410.72 = 13,214.88/x
  3. Step 3: Cross multiply
    32,935.68x = 49,410.72 × 13,214.88
  4. Step 4: Simplify right side
    32,935.68x = 652,956,735.51
  5. Step 5: Solve for x
    x = 652,956,735.51/32,935.68
  6. Step 6: Final answer
    x = 19,825.21

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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.