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Finding the Fourth Proportional to 105,524.68, 145,623.54 and 57,777.16

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Solution

The fourth proportional to 105,524.68, 145,623.54 and 57,777.16 is: 79,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524.68 : 145,623.54 = 57,777.16 : x
  2. Step 2: Convert to fraction form
    105,524.68/145,623.54 = 57,777.16/x
  3. Step 3: Cross multiply
    105,524.68x = 145,623.54 × 57,777.16
  4. Step 4: Simplify right side
    105,524.68x = 8,413,714,570.35
  5. Step 5: Solve for x
    x = 8,413,714,570.35/105,524.68
  6. Step 6: Final answer
    x = 79,732.20

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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.