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Finding the Fourth Proportional to 42,731.81, 64,103.79 and 13,152.11

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Solution

The fourth proportional to 42,731.81, 64,103.79 and 13,152.11 is: 19,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,731.81 : 64,103.79 = 13,152.11 : x
  2. Step 2: Convert to fraction form
    42,731.81/64,103.79 = 13,152.11/x
  3. Step 3: Cross multiply
    42,731.81x = 64,103.79 × 13,152.11
  4. Step 4: Simplify right side
    42,731.81x = 843,100,097.50
  5. Step 5: Solve for x
    x = 843,100,097.50/42,731.81
  6. Step 6: Final answer
    x = 19,730.03

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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.