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Finding the Fourth Proportional to 47,695.86, 65,823.27 and 26,475.48

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Solution

The fourth proportional to 47,695.86, 65,823.27 and 26,475.48 is: 36,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695.86 : 65,823.27 = 26,475.48 : x
  2. Step 2: Convert to fraction form
    47,695.86/65,823.27 = 26,475.48/x
  3. Step 3: Cross multiply
    47,695.86x = 65,823.27 × 26,475.48
  4. Step 4: Simplify right side
    47,695.86x = 1,742,702,668.42
  5. Step 5: Solve for x
    x = 1,742,702,668.42/47,695.86
  6. Step 6: Final answer
    x = 36,537.82

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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.