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Finding the Fourth Proportional to 47,305.76, 65,281.74 and 26,085.38

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Solution

The fourth proportional to 47,305.76, 65,281.74 and 26,085.38 is: 35,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.76 : 65,281.74 = 26,085.38 : x
  2. Step 2: Convert to fraction form
    47,305.76/65,281.74 = 26,085.38/x
  3. Step 3: Cross multiply
    47,305.76x = 65,281.74 × 26,085.38
  4. Step 4: Simplify right side
    47,305.76x = 1,702,898,668.55
  5. Step 5: Solve for x
    x = 1,702,898,668.55/47,305.76
  6. Step 6: Final answer
    x = 35,997.71

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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.