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Finding the Fourth Proportional to 53,392.68, 73,685.06 and 30,731.17

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Solution

The fourth proportional to 53,392.68, 73,685.06 and 30,731.17 is: 42,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,392.68 : 73,685.06 = 30,731.17 : x
  2. Step 2: Convert to fraction form
    53,392.68/73,685.06 = 30,731.17/x
  3. Step 3: Cross multiply
    53,392.68x = 73,685.06 × 30,731.17
  4. Step 4: Simplify right side
    53,392.68x = 2,264,428,105.32
  5. Step 5: Solve for x
    x = 2,264,428,105.32/53,392.68
  6. Step 6: Final answer
    x = 42,410.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.