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Finding the Fourth Proportional to 33,547.59, 46,294.70 and 18,440.24

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Solution

The fourth proportional to 33,547.59, 46,294.70 and 18,440.24 is: 25,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547.59 : 46,294.70 = 18,440.24 : x
  2. Step 2: Convert to fraction form
    33,547.59/46,294.70 = 18,440.24/x
  3. Step 3: Cross multiply
    33,547.59x = 46,294.70 × 18,440.24
  4. Step 4: Simplify right side
    33,547.59x = 853,685,055.05
  5. Step 5: Solve for x
    x = 853,685,055.05/33,547.59
  6. Step 6: Final answer
    x = 25,446.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.