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Finding the Fourth Proportional to 113,076, 169,614 and 34,188.48

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Solution

The fourth proportional to 113,076, 169,614 and 34,188.48 is: 51,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,076 : 169,614 = 34,188.48 : x
  2. Step 2: Convert to fraction form
    113,076/169,614 = 34,188.48/x
  3. Step 3: Cross multiply
    113,076x = 169,614 × 34,188.48
  4. Step 4: Simplify right side
    113,076x = 5,798,844,846.72
  5. Step 5: Solve for x
    x = 5,798,844,846.72/113,076
  6. Step 6: Final answer
    x = 51,282.72

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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.