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Finding the Fourth Proportional to 42,568.96, 58,748.48 and 23,712

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Solution

The fourth proportional to 42,568.96, 58,748.48 and 23,712 is: 32,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,568.96 : 58,748.48 = 23,712 : x
  2. Step 2: Convert to fraction form
    42,568.96/58,748.48 = 23,712/x
  3. Step 3: Cross multiply
    42,568.96x = 58,748.48 × 23,712
  4. Step 4: Simplify right side
    42,568.96x = 1,393,043,957.76
  5. Step 5: Solve for x
    x = 1,393,043,957.76/42,568.96
  6. Step 6: Final answer
    x = 32,724.41

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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.