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Finding the Fourth Proportional to 105,476.61, 158,194.76 and 31,604.61

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Solution

The fourth proportional to 105,476.61, 158,194.76 and 31,604.61 is: 47,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,476.61 : 158,194.76 = 31,604.61 : x
  2. Step 2: Convert to fraction form
    105,476.61/158,194.76 = 31,604.61/x
  3. Step 3: Cross multiply
    105,476.61x = 158,194.76 × 31,604.61
  4. Step 4: Simplify right side
    105,476.61x = 4,999,683,535.82
  5. Step 5: Solve for x
    x = 4,999,683,535.82/105,476.61
  6. Step 6: Final answer
    x = 47,400.87

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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.