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Finding the Fourth Proportional to 46,723.50, 70,114.41 and 19,021.50

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Solution

The fourth proportional to 46,723.50, 70,114.41 and 19,021.50 is: 28,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,723.50 : 70,114.41 = 19,021.50 : x
  2. Step 2: Convert to fraction form
    46,723.50/70,114.41 = 19,021.50/x
  3. Step 3: Cross multiply
    46,723.50x = 70,114.41 × 19,021.50
  4. Step 4: Simplify right side
    46,723.50x = 1,333,681,249.82
  5. Step 5: Solve for x
    x = 1,333,681,249.82/46,723.50
  6. Step 6: Final answer
    x = 28,544.12

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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.