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Finding the Fourth Proportional to 35,666.93, 49,163.76 and 28,101.74

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Solution

The fourth proportional to 35,666.93, 49,163.76 and 28,101.74 is: 38,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,666.93 : 49,163.76 = 28,101.74 : x
  2. Step 2: Convert to fraction form
    35,666.93/49,163.76 = 28,101.74/x
  3. Step 3: Cross multiply
    35,666.93x = 49,163.76 × 28,101.74
  4. Step 4: Simplify right side
    35,666.93x = 1,381,586,955.12
  5. Step 5: Solve for x
    x = 1,381,586,955.12/35,666.93
  6. Step 6: Final answer
    x = 38,735.79

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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.