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Finding the Fourth Proportional to 42,828.53, 59,101.45 and 23,709.02

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Solution

The fourth proportional to 42,828.53, 59,101.45 and 23,709.02 is: 32,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,828.53 : 59,101.45 = 23,709.02 : x
  2. Step 2: Convert to fraction form
    42,828.53/59,101.45 = 23,709.02/x
  3. Step 3: Cross multiply
    42,828.53x = 59,101.45 × 23,709.02
  4. Step 4: Simplify right side
    42,828.53x = 1,401,237,105.30
  5. Step 5: Solve for x
    x = 1,401,237,105.30/42,828.53
  6. Step 6: Final answer
    x = 32,717.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.