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Finding the Fourth Proportional to 103,073.94, 154,632.96 and 31,995.09

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Solution

The fourth proportional to 103,073.94, 154,632.96 and 31,995.09 is: 47,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,073.94 : 154,632.96 = 31,995.09 : x
  2. Step 2: Convert to fraction form
    103,073.94/154,632.96 = 31,995.09/x
  3. Step 3: Cross multiply
    103,073.94x = 154,632.96 × 31,995.09
  4. Step 4: Simplify right side
    103,073.94x = 4,947,495,472.17
  5. Step 5: Solve for x
    x = 4,947,495,472.17/103,073.94
  6. Step 6: Final answer
    x = 47,999.48

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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.