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Finding the Fourth Proportional to 113,096, 169,644 and 34,208.48

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Solution

The fourth proportional to 113,096, 169,644 and 34,208.48 is: 51,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,096 : 169,644 = 34,208.48 : x
  2. Step 2: Convert to fraction form
    113,096/169,644 = 34,208.48/x
  3. Step 3: Cross multiply
    113,096x = 169,644 × 34,208.48
  4. Step 4: Simplify right side
    113,096x = 5,803,263,381.12
  5. Step 5: Solve for x
    x = 5,803,263,381.12/113,096
  6. Step 6: Final answer
    x = 51,312.72

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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.