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Finding the Fourth Proportional to 35,970.47, 49,626.22 and 20,854.81

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Solution

The fourth proportional to 35,970.47, 49,626.22 and 20,854.81 is: 28,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.47 : 49,626.22 = 20,854.81 : x
  2. Step 2: Convert to fraction form
    35,970.47/49,626.22 = 20,854.81/x
  3. Step 3: Cross multiply
    35,970.47x = 49,626.22 × 20,854.81
  4. Step 4: Simplify right side
    35,970.47x = 1,034,945,389.12
  5. Step 5: Solve for x
    x = 1,034,945,389.12/35,970.47
  6. Step 6: Final answer
    x = 28,772.08

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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.