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Finding the Fourth Proportional to 47,142, 65,055.96 and 25,922.63

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Solution

The fourth proportional to 47,142, 65,055.96 and 25,922.63 is: 35,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142 : 65,055.96 = 25,922.63 : x
  2. Step 2: Convert to fraction form
    47,142/65,055.96 = 25,922.63/x
  3. Step 3: Cross multiply
    47,142x = 65,055.96 × 25,922.63
  4. Step 4: Simplify right side
    47,142x = 1,686,421,743.01
  5. Step 5: Solve for x
    x = 1,686,421,743.01/47,142
  6. Step 6: Final answer
    x = 35,773.23

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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.