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Finding the Fourth Proportional to 76,206.78, 114,254.79 and 31,846.22

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Solution

The fourth proportional to 76,206.78, 114,254.79 and 31,846.22 is: 47,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206.78 : 114,254.79 = 31,846.22 : x
  2. Step 2: Convert to fraction form
    76,206.78/114,254.79 = 31,846.22/x
  3. Step 3: Cross multiply
    76,206.78x = 114,254.79 × 31,846.22
  4. Step 4: Simplify right side
    76,206.78x = 3,638,582,916.15
  5. Step 5: Solve for x
    x = 3,638,582,916.15/76,206.78
  6. Step 6: Final answer
    x = 47,746.18

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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.