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Finding the Fourth Proportional to 30,925.63, 46,388.32 and 11,199.57

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Solution

The fourth proportional to 30,925.63, 46,388.32 and 11,199.57 is: 16,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925.63 : 46,388.32 = 11,199.57 : x
  2. Step 2: Convert to fraction form
    30,925.63/46,388.32 = 11,199.57/x
  3. Step 3: Cross multiply
    30,925.63x = 46,388.32 × 11,199.57
  4. Step 4: Simplify right side
    30,925.63x = 519,529,237.02
  5. Step 5: Solve for x
    x = 519,529,237.02/30,925.63
  6. Step 6: Final answer
    x = 16,799.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.