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Finding the Fourth Proportional to 33,590.40, 50,368.17 and 9,894.87

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Solution

The fourth proportional to 33,590.40, 50,368.17 and 9,894.87 is: 14,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590.40 : 50,368.17 = 9,894.87 : x
  2. Step 2: Convert to fraction form
    33,590.40/50,368.17 = 9,894.87/x
  3. Step 3: Cross multiply
    33,590.40x = 50,368.17 × 9,894.87
  4. Step 4: Simplify right side
    33,590.40x = 498,386,494.29
  5. Step 5: Solve for x
    x = 498,386,494.29/33,590.40
  6. Step 6: Final answer
    x = 14,837.17

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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.