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Finding the Fourth Proportional to 46,922, 70,390.24 and 15,764.56

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Solution

The fourth proportional to 46,922, 70,390.24 and 15,764.56 is: 23,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,922 : 70,390.24 = 15,764.56 : x
  2. Step 2: Convert to fraction form
    46,922/70,390.24 = 15,764.56/x
  3. Step 3: Cross multiply
    46,922x = 70,390.24 × 15,764.56
  4. Step 4: Simplify right side
    46,922x = 1,109,671,161.89
  5. Step 5: Solve for x
    x = 1,109,671,161.89/46,922
  6. Step 6: Final answer
    x = 23,649.27

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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.