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Finding the Fourth Proportional to 35,498.84, 48,991.30 and 19,585

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Solution

The fourth proportional to 35,498.84, 48,991.30 and 19,585 is: 27,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498.84 : 48,991.30 = 19,585 : x
  2. Step 2: Convert to fraction form
    35,498.84/48,991.30 = 19,585/x
  3. Step 3: Cross multiply
    35,498.84x = 48,991.30 × 19,585
  4. Step 4: Simplify right side
    35,498.84x = 959,494,610.50
  5. Step 5: Solve for x
    x = 959,494,610.50/35,498.84
  6. Step 6: Final answer
    x = 27,028.90

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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.