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Finding the Fourth Proportional to 46,182, 69,248.22 and 23,940.24

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Solution

The fourth proportional to 46,182, 69,248.22 and 23,940.24 is: 35,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182 : 69,248.22 = 23,940.24 : x
  2. Step 2: Convert to fraction form
    46,182/69,248.22 = 23,940.24/x
  3. Step 3: Cross multiply
    46,182x = 69,248.22 × 23,940.24
  4. Step 4: Simplify right side
    46,182x = 1,657,819,006.37
  5. Step 5: Solve for x
    x = 1,657,819,006.37/46,182
  6. Step 6: Final answer
    x = 35,897.51

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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.