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Finding the Fourth Proportional to 105,516.48, 145,607.16 and 57,760.58

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Solution

The fourth proportional to 105,516.48, 145,607.16 and 57,760.58 is: 79,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,516.48 : 145,607.16 = 57,760.58 : x
  2. Step 2: Convert to fraction form
    105,516.48/145,607.16 = 57,760.58/x
  3. Step 3: Cross multiply
    105,516.48x = 145,607.16 × 57,760.58
  4. Step 4: Simplify right side
    105,516.48x = 8,410,354,013.75
  5. Step 5: Solve for x
    x = 8,410,354,013.75/105,516.48
  6. Step 6: Final answer
    x = 79,706.54

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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.