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Finding the Fourth Proportional to 105,709.84, 145,879.62 and 57,962.20

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Solution

The fourth proportional to 105,709.84, 145,879.62 and 57,962.20 is: 79,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,709.84 : 145,879.62 = 57,962.20 : x
  2. Step 2: Convert to fraction form
    105,709.84/145,879.62 = 57,962.20/x
  3. Step 3: Cross multiply
    105,709.84x = 145,879.62 × 57,962.20
  4. Step 4: Simplify right side
    105,709.84x = 8,455,503,710.36
  5. Step 5: Solve for x
    x = 8,455,503,710.36/105,709.84
  6. Step 6: Final answer
    x = 79,987.86

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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.