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Finding the Fourth Proportional to 117,661.84, 176,525.70 and 47,590.36

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Solution

The fourth proportional to 117,661.84, 176,525.70 and 47,590.36 is: 71,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,661.84 : 176,525.70 = 47,590.36 : x
  2. Step 2: Convert to fraction form
    117,661.84/176,525.70 = 47,590.36/x
  3. Step 3: Cross multiply
    117,661.84x = 176,525.70 × 47,590.36
  4. Step 4: Simplify right side
    117,661.84x = 8,400,921,612.25
  5. Step 5: Solve for x
    x = 8,400,921,612.25/117,661.84
  6. Step 6: Final answer
    x = 71,398.86

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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.