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Finding the Fourth Proportional to 47,613.60, 65,762.82 and 31,669.56

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Solution

The fourth proportional to 47,613.60, 65,762.82 and 31,669.56 is: 43,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,613.60 : 65,762.82 = 31,669.56 : x
  2. Step 2: Convert to fraction form
    47,613.60/65,762.82 = 31,669.56/x
  3. Step 3: Cross multiply
    47,613.60x = 65,762.82 × 31,669.56
  4. Step 4: Simplify right side
    47,613.60x = 2,082,679,573.76
  5. Step 5: Solve for x
    x = 2,082,679,573.76/47,613.60
  6. Step 6: Final answer
    x = 43,741.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.