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Finding the Fourth Proportional to 67,802.54, 101,709.48 and 23,411.30

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Solution

The fourth proportional to 67,802.54, 101,709.48 and 23,411.30 is: 35,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,802.54 : 101,709.48 = 23,411.30 : x
  2. Step 2: Convert to fraction form
    67,802.54/101,709.48 = 23,411.30/x
  3. Step 3: Cross multiply
    67,802.54x = 101,709.48 × 23,411.30
  4. Step 4: Simplify right side
    67,802.54x = 2,381,151,149.12
  5. Step 5: Solve for x
    x = 2,381,151,149.12/67,802.54
  6. Step 6: Final answer
    x = 35,118.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.