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Finding the Fourth Proportional to 105,452.63, 145,524.65 and 57,705.98

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Solution

The fourth proportional to 105,452.63, 145,524.65 and 57,705.98 is: 79,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.63 : 145,524.65 = 57,705.98 : x
  2. Step 2: Convert to fraction form
    105,452.63/145,524.65 = 57,705.98/x
  3. Step 3: Cross multiply
    105,452.63x = 145,524.65 × 57,705.98
  4. Step 4: Simplify right side
    105,452.63x = 8,397,642,617.69
  5. Step 5: Solve for x
    x = 8,397,642,617.69/105,452.63
  6. Step 6: Final answer
    x = 79,634.26

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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.