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Finding the Fourth Proportional to 105,644, 145,762.62 and 62,633.57

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Solution

The fourth proportional to 105,644, 145,762.62 and 62,633.57 is: 86,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,644 : 145,762.62 = 62,633.57 : x
  2. Step 2: Convert to fraction form
    105,644/145,762.62 = 62,633.57/x
  3. Step 3: Cross multiply
    105,644x = 145,762.62 × 62,633.57
  4. Step 4: Simplify right side
    105,644x = 9,129,633,263.15
  5. Step 5: Solve for x
    x = 9,129,633,263.15/105,644
  6. Step 6: Final answer
    x = 86,418.85

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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.