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Finding the Fourth Proportional to 38,649.66, 58,237.74 and 31,783.47

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Solution

The fourth proportional to 38,649.66, 58,237.74 and 31,783.47 is: 47,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.66 : 58,237.74 = 31,783.47 : x
  2. Step 2: Convert to fraction form
    38,649.66/58,237.74 = 31,783.47/x
  3. Step 3: Cross multiply
    38,649.66x = 58,237.74 × 31,783.47
  4. Step 4: Simplify right side
    38,649.66x = 1,850,997,462.16
  5. Step 5: Solve for x
    x = 1,850,997,462.16/38,649.66
  6. Step 6: Final answer
    x = 47,891.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.