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Finding the Fourth Proportional to 35,748.01, 49,277.68 and 28,180.81

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Solution

The fourth proportional to 35,748.01, 49,277.68 and 28,180.81 is: 38,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,748.01 : 49,277.68 = 28,180.81 : x
  2. Step 2: Convert to fraction form
    35,748.01/49,277.68 = 28,180.81/x
  3. Step 3: Cross multiply
    35,748.01x = 49,277.68 × 28,180.81
  4. Step 4: Simplify right side
    35,748.01x = 1,388,684,937.32
  5. Step 5: Solve for x
    x = 1,388,684,937.32/35,748.01
  6. Step 6: Final answer
    x = 38,846.50

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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.