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Finding the Fourth Proportional to 34,486.70, 47,588.10 and 19,376.96

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Solution

The fourth proportional to 34,486.70, 47,588.10 and 19,376.96 is: 26,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,486.70 : 47,588.10 = 19,376.96 : x
  2. Step 2: Convert to fraction form
    34,486.70/47,588.10 = 19,376.96/x
  3. Step 3: Cross multiply
    34,486.70x = 47,588.10 × 19,376.96
  4. Step 4: Simplify right side
    34,486.70x = 922,112,710.18
  5. Step 5: Solve for x
    x = 922,112,710.18/34,486.70
  6. Step 6: Final answer
    x = 26,738.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.