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Finding the Fourth Proportional to 105,464.94, 145,540.35 and 57,717.66

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Solution

The fourth proportional to 105,464.94, 145,540.35 and 57,717.66 is: 79,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,464.94 : 145,540.35 = 57,717.66 : x
  2. Step 2: Convert to fraction form
    105,464.94/145,540.35 = 57,717.66/x
  3. Step 3: Cross multiply
    105,464.94x = 145,540.35 × 57,717.66
  4. Step 4: Simplify right side
    105,464.94x = 8,400,248,437.58
  5. Step 5: Solve for x
    x = 8,400,248,437.58/105,464.94
  6. Step 6: Final answer
    x = 79,649.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.