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Finding the Fourth Proportional to 46,994.69, 70,484.74 and 13,711.28

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Solution

The fourth proportional to 46,994.69, 70,484.74 and 13,711.28 is: 20,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,994.69 : 70,484.74 = 13,711.28 : x
  2. Step 2: Convert to fraction form
    46,994.69/70,484.74 = 13,711.28/x
  3. Step 3: Cross multiply
    46,994.69x = 70,484.74 × 13,711.28
  4. Step 4: Simplify right side
    46,994.69x = 966,436,005.87
  5. Step 5: Solve for x
    x = 966,436,005.87/46,994.69
  6. Step 6: Final answer
    x = 20,564.79

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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.