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Finding the Fourth Proportional to 49,784.68, 68,703.06 and 27,428.68

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Solution

The fourth proportional to 49,784.68, 68,703.06 and 27,428.68 is: 37,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784.68 : 68,703.06 = 27,428.68 : x
  2. Step 2: Convert to fraction form
    49,784.68/68,703.06 = 27,428.68/x
  3. Step 3: Cross multiply
    49,784.68x = 68,703.06 × 27,428.68
  4. Step 4: Simplify right side
    49,784.68x = 1,884,434,247.76
  5. Step 5: Solve for x
    x = 1,884,434,247.76/49,784.68
  6. Step 6: Final answer
    x = 37,851.69

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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.