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Finding the Fourth Proportional to 47,668.80, 65,779.98 and 26,447.64

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Solution

The fourth proportional to 47,668.80, 65,779.98 and 26,447.64 is: 36,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668.80 : 65,779.98 = 26,447.64 : x
  2. Step 2: Convert to fraction form
    47,668.80/65,779.98 = 26,447.64/x
  3. Step 3: Cross multiply
    47,668.80x = 65,779.98 × 26,447.64
  4. Step 4: Simplify right side
    47,668.80x = 1,739,725,230.25
  5. Step 5: Solve for x
    x = 1,739,725,230.25/47,668.80
  6. Step 6: Final answer
    x = 36,496.10

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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.