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Finding the Fourth Proportional to 47,111.63, 65,014.04 and 25,892.26

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Solution

The fourth proportional to 47,111.63, 65,014.04 and 25,892.26 is: 35,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,111.63 : 65,014.04 = 25,892.26 : x
  2. Step 2: Convert to fraction form
    47,111.63/65,014.04 = 25,892.26/x
  3. Step 3: Cross multiply
    47,111.63x = 65,014.04 × 25,892.26
  4. Step 4: Simplify right side
    47,111.63x = 1,683,360,329.53
  5. Step 5: Solve for x
    x = 1,683,360,329.53/47,111.63
  6. Step 6: Final answer
    x = 35,731.32

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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.