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Finding the Fourth Proportional to 33,068.32, 49,598.16 and 14,596

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Solution

The fourth proportional to 33,068.32, 49,598.16 and 14,596 is: 21,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,068.32 : 49,598.16 = 14,596 : x
  2. Step 2: Convert to fraction form
    33,068.32/49,598.16 = 14,596/x
  3. Step 3: Cross multiply
    33,068.32x = 49,598.16 × 14,596
  4. Step 4: Simplify right side
    33,068.32x = 723,934,743.36
  5. Step 5: Solve for x
    x = 723,934,743.36/33,068.32
  6. Step 6: Final answer
    x = 21,892.09

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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.