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Finding the Fourth Proportional to 47,686.61, 65,808.60 and 26,467.24

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Solution

The fourth proportional to 47,686.61, 65,808.60 and 26,467.24 is: 36,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,686.61 : 65,808.60 = 26,467.24 : x
  2. Step 2: Convert to fraction form
    47,686.61/65,808.60 = 26,467.24/x
  3. Step 3: Cross multiply
    47,686.61x = 65,808.60 × 26,467.24
  4. Step 4: Simplify right side
    47,686.61x = 1,741,771,845.74
  5. Step 5: Solve for x
    x = 1,741,771,845.74/47,686.61
  6. Step 6: Final answer
    x = 36,525.39

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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.