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Finding the Fourth Proportional to 117,698.56, 176,547.92 and 34,650.88

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Solution

The fourth proportional to 117,698.56, 176,547.92 and 34,650.88 is: 51,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698.56 : 176,547.92 = 34,650.88 : x
  2. Step 2: Convert to fraction form
    117,698.56/176,547.92 = 34,650.88/x
  3. Step 3: Cross multiply
    117,698.56x = 176,547.92 × 34,650.88
  4. Step 4: Simplify right side
    117,698.56x = 6,117,540,790.17
  5. Step 5: Solve for x
    x = 6,117,540,790.17/117,698.56
  6. Step 6: Final answer
    x = 51,976.34

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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.