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Finding the Fourth Proportional to 38,696, 58,048.96 and 10,994.72

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Solution

The fourth proportional to 38,696, 58,048.96 and 10,994.72 is: 16,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696 : 58,048.96 = 10,994.72 : x
  2. Step 2: Convert to fraction form
    38,696/58,048.96 = 10,994.72/x
  3. Step 3: Cross multiply
    38,696x = 58,048.96 × 10,994.72
  4. Step 4: Simplify right side
    38,696x = 638,232,061.49
  5. Step 5: Solve for x
    x = 638,232,061.49/38,696
  6. Step 6: Final answer
    x = 16,493.49

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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.