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Finding the Fourth Proportional to 131,726.50, 197,590.25 and 31,886.53

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Solution

The fourth proportional to 131,726.50, 197,590.25 and 31,886.53 is: 47,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,726.50 : 197,590.25 = 31,886.53 : x
  2. Step 2: Convert to fraction form
    131,726.50/197,590.25 = 31,886.53/x
  3. Step 3: Cross multiply
    131,726.50x = 197,590.25 × 31,886.53
  4. Step 4: Simplify right side
    131,726.50x = 6,300,467,020.07
  5. Step 5: Solve for x
    x = 6,300,467,020.07/131,726.50
  6. Step 6: Final answer
    x = 47,829.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.