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Finding the Fourth Proportional to 33,588, 50,347.98 and 13,877.46

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Solution

The fourth proportional to 33,588, 50,347.98 and 13,877.46 is: 20,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588 : 50,347.98 = 13,877.46 : x
  2. Step 2: Convert to fraction form
    33,588/50,347.98 = 13,877.46/x
  3. Step 3: Cross multiply
    33,588x = 50,347.98 × 13,877.46
  4. Step 4: Simplify right side
    33,588x = 698,702,078.53
  5. Step 5: Solve for x
    x = 698,702,078.53/33,588
  6. Step 6: Final answer
    x = 20,802.13

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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.