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Finding the Fourth Proportional to 27,533.11, 41,306.03 and 9,762.83

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Solution

The fourth proportional to 27,533.11, 41,306.03 and 9,762.83 is: 14,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,533.11 : 41,306.03 = 9,762.83 : x
  2. Step 2: Convert to fraction form
    27,533.11/41,306.03 = 9,762.83/x
  3. Step 3: Cross multiply
    27,533.11x = 41,306.03 × 9,762.83
  4. Step 4: Simplify right side
    27,533.11x = 403,263,748.86
  5. Step 5: Solve for x
    x = 403,263,748.86/27,533.11
  6. Step 6: Final answer
    x = 14,646.50

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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.