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Finding the Fourth Proportional to 33,196.96, 45,810.96 and 18,292

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Solution

The fourth proportional to 33,196.96, 45,810.96 and 18,292 is: 25,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.96 : 45,810.96 = 18,292 : x
  2. Step 2: Convert to fraction form
    33,196.96/45,810.96 = 18,292/x
  3. Step 3: Cross multiply
    33,196.96x = 45,810.96 × 18,292
  4. Step 4: Simplify right side
    33,196.96x = 837,974,080.32
  5. Step 5: Solve for x
    x = 837,974,080.32/33,196.96
  6. Step 6: Final answer
    x = 25,242.49

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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.