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Finding the Fourth Proportional to 46,590, 69,923.88 and 21,966

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Solution

The fourth proportional to 46,590, 69,923.88 and 21,966 is: 32,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,590 : 69,923.88 = 21,966 : x
  2. Step 2: Convert to fraction form
    46,590/69,923.88 = 21,966/x
  3. Step 3: Cross multiply
    46,590x = 69,923.88 × 21,966
  4. Step 4: Simplify right side
    46,590x = 1,535,947,948.08
  5. Step 5: Solve for x
    x = 1,535,947,948.08/46,590
  6. Step 6: Final answer
    x = 32,967.33

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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.