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Finding the Fourth Proportional to 60,677.60, 90,950.66 and 31,054.82

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Solution

The fourth proportional to 60,677.60, 90,950.66 and 31,054.82 is: 46,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,677.60 : 90,950.66 = 31,054.82 : x
  2. Step 2: Convert to fraction form
    60,677.60/90,950.66 = 31,054.82/x
  3. Step 3: Cross multiply
    60,677.60x = 90,950.66 × 31,054.82
  4. Step 4: Simplify right side
    60,677.60x = 2,824,456,563.74
  5. Step 5: Solve for x
    x = 2,824,456,563.74/60,677.60
  6. Step 6: Final answer
    x = 46,548.59

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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.