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Finding the Fourth Proportional to 42,102.12, 58,101.40 and 23,239.24

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Solution

The fourth proportional to 42,102.12, 58,101.40 and 23,239.24 is: 32,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.12 : 58,101.40 = 23,239.24 : x
  2. Step 2: Convert to fraction form
    42,102.12/58,101.40 = 23,239.24/x
  3. Step 3: Cross multiply
    42,102.12x = 58,101.40 × 23,239.24
  4. Step 4: Simplify right side
    42,102.12x = 1,350,232,378.94
  5. Step 5: Solve for x
    x = 1,350,232,378.94/42,102.12
  6. Step 6: Final answer
    x = 32,070.41

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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.