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Finding the Fourth Proportional to 102,456.16, 153,684.24 and 27,576.48

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Solution

The fourth proportional to 102,456.16, 153,684.24 and 27,576.48 is: 41,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,456.16 : 153,684.24 = 27,576.48 : x
  2. Step 2: Convert to fraction form
    102,456.16/153,684.24 = 27,576.48/x
  3. Step 3: Cross multiply
    102,456.16x = 153,684.24 × 27,576.48
  4. Step 4: Simplify right side
    102,456.16x = 4,238,070,370.68
  5. Step 5: Solve for x
    x = 4,238,070,370.68/102,456.16
  6. Step 6: Final answer
    x = 41,364.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.