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Finding the Fourth Proportional to 49,762.60, 68,686.50 and 32,779.24

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Solution

The fourth proportional to 49,762.60, 68,686.50 and 32,779.24 is: 45,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.60 : 68,686.50 = 32,779.24 : x
  2. Step 2: Convert to fraction form
    49,762.60/68,686.50 = 32,779.24/x
  3. Step 3: Cross multiply
    49,762.60x = 68,686.50 × 32,779.24
  4. Step 4: Simplify right side
    49,762.60x = 2,251,491,268.26
  5. Step 5: Solve for x
    x = 2,251,491,268.26/49,762.60
  6. Step 6: Final answer
    x = 45,244.65

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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.