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Finding the Fourth Proportional to 42,101.84, 58,099.67 and 22,982.00

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Solution

The fourth proportional to 42,101.84, 58,099.67 and 22,982.00 is: 31,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,101.84 : 58,099.67 = 22,982.00 : x
  2. Step 2: Convert to fraction form
    42,101.84/58,099.67 = 22,982.00/x
  3. Step 3: Cross multiply
    42,101.84x = 58,099.67 × 22,982.00
  4. Step 4: Simplify right side
    42,101.84x = 1,335,246,210.53
  5. Step 5: Solve for x
    x = 1,335,246,210.53/42,101.84
  6. Step 6: Final answer
    x = 31,714.67

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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.