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Finding the Fourth Proportional to 42,072.88, 58,059.64 and 23,210

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Solution

The fourth proportional to 42,072.88, 58,059.64 and 23,210 is: 32,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,072.88 : 58,059.64 = 23,210 : x
  2. Step 2: Convert to fraction form
    42,072.88/58,059.64 = 23,210/x
  3. Step 3: Cross multiply
    42,072.88x = 58,059.64 × 23,210
  4. Step 4: Simplify right side
    42,072.88x = 1,347,564,244.40
  5. Step 5: Solve for x
    x = 1,347,564,244.40/42,072.88
  6. Step 6: Final answer
    x = 32,029.28

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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.