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Finding the Fourth Proportional to 30,924, 46,326.24 and 20,362.32

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Solution

The fourth proportional to 30,924, 46,326.24 and 20,362.32 is: 30,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924 : 46,326.24 = 20,362.32 : x
  2. Step 2: Convert to fraction form
    30,924/46,326.24 = 20,362.32/x
  3. Step 3: Cross multiply
    30,924x = 46,326.24 × 20,362.32
  4. Step 4: Simplify right side
    30,924x = 943,309,723.28
  5. Step 5: Solve for x
    x = 943,309,723.28/30,924
  6. Step 6: Final answer
    x = 30,504.13

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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.