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Finding the Fourth Proportional to 102,411.44, 153,617.16 and 32,296.22

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Solution

The fourth proportional to 102,411.44, 153,617.16 and 32,296.22 is: 48,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,411.44 : 153,617.16 = 32,296.22 : x
  2. Step 2: Convert to fraction form
    102,411.44/153,617.16 = 32,296.22/x
  3. Step 3: Cross multiply
    102,411.44x = 153,617.16 × 32,296.22
  4. Step 4: Simplify right side
    102,411.44x = 4,961,253,342.56
  5. Step 5: Solve for x
    x = 4,961,253,342.56/102,411.44
  6. Step 6: Final answer
    x = 48,444.33

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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.