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Finding the Fourth Proportional to 102,161.94, 153,264.51 and 32,048.34

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Solution

The fourth proportional to 102,161.94, 153,264.51 and 32,048.34 is: 48,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161.94 : 153,264.51 = 32,048.34 : x
  2. Step 2: Convert to fraction form
    102,161.94/153,264.51 = 32,048.34/x
  3. Step 3: Cross multiply
    102,161.94x = 153,264.51 × 32,048.34
  4. Step 4: Simplify right side
    102,161.94x = 4,911,873,126.41
  5. Step 5: Solve for x
    x = 4,911,873,126.41/102,161.94
  6. Step 6: Final answer
    x = 48,079.29

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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.