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Finding the Fourth Proportional to 46,993.77, 70,462.49 and 14,959.00

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Solution

The fourth proportional to 46,993.77, 70,462.49 and 14,959.00 is: 22,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993.77 : 70,462.49 = 14,959.00 : x
  2. Step 2: Convert to fraction form
    46,993.77/70,462.49 = 14,959.00/x
  3. Step 3: Cross multiply
    46,993.77x = 70,462.49 × 14,959.00
  4. Step 4: Simplify right side
    46,993.77x = 1,054,048,293.87
  5. Step 5: Solve for x
    x = 1,054,048,293.87/46,993.77
  6. Step 6: Final answer
    x = 22,429.53

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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.