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Finding the Fourth Proportional to 117,117, 175,680.36 and 34,011

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Solution

The fourth proportional to 117,117, 175,680.36 and 34,011 is: 51,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,117 : 175,680.36 = 34,011 : x
  2. Step 2: Convert to fraction form
    117,117/175,680.36 = 34,011/x
  3. Step 3: Cross multiply
    117,117x = 175,680.36 × 34,011
  4. Step 4: Simplify right side
    117,117x = 5,975,064,723.96
  5. Step 5: Solve for x
    x = 5,975,064,723.96/117,117
  6. Step 6: Final answer
    x = 51,017.91

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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.