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Finding the Fourth Proportional to 47,684.63, 65,803.47 and 26,174.36

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Solution

The fourth proportional to 47,684.63, 65,803.47 and 26,174.36 is: 36,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.63 : 65,803.47 = 26,174.36 : x
  2. Step 2: Convert to fraction form
    47,684.63/65,803.47 = 26,174.36/x
  3. Step 3: Cross multiply
    47,684.63x = 65,803.47 × 26,174.36
  4. Step 4: Simplify right side
    47,684.63x = 1,722,363,779.38
  5. Step 5: Solve for x
    x = 1,722,363,779.38/47,684.63
  6. Step 6: Final answer
    x = 36,119.89

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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.