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Finding the Fourth Proportional to 105,452.51, 145,524.47 and 57,705.87

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Solution

The fourth proportional to 105,452.51, 145,524.47 and 57,705.87 is: 79,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.51 : 145,524.47 = 57,705.87 : x
  2. Step 2: Convert to fraction form
    105,452.51/145,524.47 = 57,705.87/x
  3. Step 3: Cross multiply
    105,452.51x = 145,524.47 × 57,705.87
  4. Step 4: Simplify right side
    105,452.51x = 8,397,615,564.28
  5. Step 5: Solve for x
    x = 8,397,615,564.28/105,452.51
  6. Step 6: Final answer
    x = 79,634.10

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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.