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Finding the Fourth Proportional to 35,970.53, 49,638.35 and 20,862.23

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Solution

The fourth proportional to 35,970.53, 49,638.35 and 20,862.23 is: 28,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.53 : 49,638.35 = 20,862.23 : x
  2. Step 2: Convert to fraction form
    35,970.53/49,638.35 = 20,862.23/x
  3. Step 3: Cross multiply
    35,970.53x = 49,638.35 × 20,862.23
  4. Step 4: Simplify right side
    35,970.53x = 1,035,566,322.02
  5. Step 5: Solve for x
    x = 1,035,566,322.02/35,970.53
  6. Step 6: Final answer
    x = 28,789.30

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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.