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Finding the Fourth Proportional to 35,782.19, 53,671.56 and 13,593.84

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Solution

The fourth proportional to 35,782.19, 53,671.56 and 13,593.84 is: 20,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.19 : 53,671.56 = 13,593.84 : x
  2. Step 2: Convert to fraction form
    35,782.19/53,671.56 = 13,593.84/x
  3. Step 3: Cross multiply
    35,782.19x = 53,671.56 × 13,593.84
  4. Step 4: Simplify right side
    35,782.19x = 729,602,599.19
  5. Step 5: Solve for x
    x = 729,602,599.19/35,782.19
  6. Step 6: Final answer
    x = 20,390.11

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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.