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Finding the Fourth Proportional to 35,698.25, 49,265.55 and 19,782.35

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Solution

The fourth proportional to 35,698.25, 49,265.55 and 19,782.35 is: 27,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.25 : 49,265.55 = 19,782.35 : x
  2. Step 2: Convert to fraction form
    35,698.25/49,265.55 = 19,782.35/x
  3. Step 3: Cross multiply
    35,698.25x = 49,265.55 × 19,782.35
  4. Step 4: Simplify right side
    35,698.25x = 974,588,353.04
  5. Step 5: Solve for x
    x = 974,588,353.04/35,698.25
  6. Step 6: Final answer
    x = 27,300.73

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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.