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Finding the Fourth Proportional to 68,015.63, 102,024.35 and 23,643.22

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Solution

The fourth proportional to 68,015.63, 102,024.35 and 23,643.22 is: 35,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,015.63 : 102,024.35 = 23,643.22 : x
  2. Step 2: Convert to fraction form
    68,015.63/102,024.35 = 23,643.22/x
  3. Step 3: Cross multiply
    68,015.63x = 102,024.35 × 23,643.22
  4. Step 4: Simplify right side
    68,015.63x = 2,412,184,152.41
  5. Step 5: Solve for x
    x = 2,412,184,152.41/68,015.63
  6. Step 6: Final answer
    x = 35,465.14

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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.