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Finding the Fourth Proportional to 42,712.88, 58,946.40 and 23,850

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Solution

The fourth proportional to 42,712.88, 58,946.40 and 23,850 is: 32,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712.88 : 58,946.40 = 23,850 : x
  2. Step 2: Convert to fraction form
    42,712.88/58,946.40 = 23,850/x
  3. Step 3: Cross multiply
    42,712.88x = 58,946.40 × 23,850
  4. Step 4: Simplify right side
    42,712.88x = 1,405,871,640
  5. Step 5: Solve for x
    x = 1,405,871,640/42,712.88
  6. Step 6: Final answer
    x = 32,914.47

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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.