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Finding the Fourth Proportional to 35,829.40, 53,705.70 and 13,634.20

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Solution

The fourth proportional to 35,829.40, 53,705.70 and 13,634.20 is: 20,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829.40 : 53,705.70 = 13,634.20 : x
  2. Step 2: Convert to fraction form
    35,829.40/53,705.70 = 13,634.20/x
  3. Step 3: Cross multiply
    35,829.40x = 53,705.70 × 13,634.20
  4. Step 4: Simplify right side
    35,829.40x = 732,234,254.94
  5. Step 5: Solve for x
    x = 732,234,254.94/35,829.40
  6. Step 6: Final answer
    x = 20,436.69

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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.