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Finding the Fourth Proportional to 33,291.76, 49,894.44 and 13,547.38

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Solution

The fourth proportional to 33,291.76, 49,894.44 and 13,547.38 is: 20,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291.76 : 49,894.44 = 13,547.38 : x
  2. Step 2: Convert to fraction form
    33,291.76/49,894.44 = 13,547.38/x
  3. Step 3: Cross multiply
    33,291.76x = 49,894.44 × 13,547.38
  4. Step 4: Simplify right side
    33,291.76x = 675,938,938.57
  5. Step 5: Solve for x
    x = 675,938,938.57/33,291.76
  6. Step 6: Final answer
    x = 20,303.49

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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.