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Finding the Fourth Proportional to 35,385.50, 53,099.42 and 13,214.46

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Solution

The fourth proportional to 35,385.50, 53,099.42 and 13,214.46 is: 19,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,385.50 : 53,099.42 = 13,214.46 : x
  2. Step 2: Convert to fraction form
    35,385.50/53,099.42 = 13,214.46/x
  3. Step 3: Cross multiply
    35,385.50x = 53,099.42 × 13,214.46
  4. Step 4: Simplify right side
    35,385.50x = 701,680,161.61
  5. Step 5: Solve for x
    x = 701,680,161.61/35,385.50
  6. Step 6: Final answer
    x = 19,829.60

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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.