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Finding the Fourth Proportional to 30,788.16, 46,178.04 and 8,599.68

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Solution

The fourth proportional to 30,788.16, 46,178.04 and 8,599.68 is: 12,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.16 : 46,178.04 = 8,599.68 : x
  2. Step 2: Convert to fraction form
    30,788.16/46,178.04 = 8,599.68/x
  3. Step 3: Cross multiply
    30,788.16x = 46,178.04 × 8,599.68
  4. Step 4: Simplify right side
    30,788.16x = 397,116,367.03
  5. Step 5: Solve for x
    x = 397,116,367.03/30,788.16
  6. Step 6: Final answer
    x = 12,898.35

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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.