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Finding the Fourth Proportional to 75,730.78, 113,616.63 and 23,138.83

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Solution

The fourth proportional to 75,730.78, 113,616.63 and 23,138.83 is: 34,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,730.78 : 113,616.63 = 23,138.83 : x
  2. Step 2: Convert to fraction form
    75,730.78/113,616.63 = 23,138.83/x
  3. Step 3: Cross multiply
    75,730.78x = 113,616.63 × 23,138.83
  4. Step 4: Simplify right side
    75,730.78x = 2,628,955,886.74
  5. Step 5: Solve for x
    x = 2,628,955,886.74/75,730.78
  6. Step 6: Final answer
    x = 34,714.50

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