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Finding the Fourth Proportional to 102,163.52, 153,244.96 and 32,048.16

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Solution

The fourth proportional to 102,163.52, 153,244.96 and 32,048.16 is: 48,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.52 : 153,244.96 = 32,048.16 : x
  2. Step 2: Convert to fraction form
    102,163.52/153,244.96 = 32,048.16/x
  3. Step 3: Cross multiply
    102,163.52x = 153,244.96 × 32,048.16
  4. Step 4: Simplify right side
    102,163.52x = 4,911,218,997.27
  5. Step 5: Solve for x
    x = 4,911,218,997.27/102,163.52
  6. Step 6: Final answer
    x = 48,072.14

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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.