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Finding the Fourth Proportional to 42,541.42, 58,706.54 and 23,678.54

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Solution

The fourth proportional to 42,541.42, 58,706.54 and 23,678.54 is: 32,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,541.42 : 58,706.54 = 23,678.54 : x
  2. Step 2: Convert to fraction form
    42,541.42/58,706.54 = 23,678.54/x
  3. Step 3: Cross multiply
    42,541.42x = 58,706.54 × 23,678.54
  4. Step 4: Simplify right side
    42,541.42x = 1,390,085,155.65
  5. Step 5: Solve for x
    x = 1,390,085,155.65/42,541.42
  6. Step 6: Final answer
    x = 32,676.04

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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.