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Finding the Fourth Proportional to 30,873.39, 46,292.58 and 9,809.34

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Solution

The fourth proportional to 30,873.39, 46,292.58 and 9,809.34 is: 14,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.39 : 46,292.58 = 9,809.34 : x
  2. Step 2: Convert to fraction form
    30,873.39/46,292.58 = 9,809.34/x
  3. Step 3: Cross multiply
    30,873.39x = 46,292.58 × 9,809.34
  4. Step 4: Simplify right side
    30,873.39x = 454,099,656.70
  5. Step 5: Solve for x
    x = 454,099,656.70/30,873.39
  6. Step 6: Final answer
    x = 14,708.45

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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.