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Finding the Fourth Proportional to 42,176.76, 58,203.78 and 23,313.78

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Solution

The fourth proportional to 42,176.76, 58,203.78 and 23,313.78 is: 32,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176.76 : 58,203.78 = 23,313.78 : x
  2. Step 2: Convert to fraction form
    42,176.76/58,203.78 = 23,313.78/x
  3. Step 3: Cross multiply
    42,176.76x = 58,203.78 × 23,313.78
  4. Step 4: Simplify right side
    42,176.76x = 1,356,950,122.09
  5. Step 5: Solve for x
    x = 1,356,950,122.09/42,176.76
  6. Step 6: Final answer
    x = 32,172.93

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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.