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Finding the Fourth Proportional to 30,929.92, 46,403.52 and 10,168

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Solution

The fourth proportional to 30,929.92, 46,403.52 and 10,168 is: 15,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.92 : 46,403.52 = 10,168 : x
  2. Step 2: Convert to fraction form
    30,929.92/46,403.52 = 10,168/x
  3. Step 3: Cross multiply
    30,929.92x = 46,403.52 × 10,168
  4. Step 4: Simplify right side
    30,929.92x = 471,830,991.36
  5. Step 5: Solve for x
    x = 471,830,991.36/30,929.92
  6. Step 6: Final answer
    x = 15,254.84

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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.