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Finding the Fourth Proportional to 68,030.29, 102,063.78 and 23,659.51

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Solution

The fourth proportional to 68,030.29, 102,063.78 and 23,659.51 is: 35,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,030.29 : 102,063.78 = 23,659.51 : x
  2. Step 2: Convert to fraction form
    68,030.29/102,063.78 = 23,659.51/x
  3. Step 3: Cross multiply
    68,030.29x = 102,063.78 × 23,659.51
  4. Step 4: Simplify right side
    68,030.29x = 2,414,779,023.55
  5. Step 5: Solve for x
    x = 2,414,779,023.55/68,030.29
  6. Step 6: Final answer
    x = 35,495.65

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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.