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Finding the Fourth Proportional to 35,897.40, 49,537.98 and 20,993.40

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Solution

The fourth proportional to 35,897.40, 49,537.98 and 20,993.40 is: 28,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.40 : 49,537.98 = 20,993.40 : x
  2. Step 2: Convert to fraction form
    35,897.40/49,537.98 = 20,993.40/x
  3. Step 3: Cross multiply
    35,897.40x = 49,537.98 × 20,993.40
  4. Step 4: Simplify right side
    35,897.40x = 1,039,970,629.33
  5. Step 5: Solve for x
    x = 1,039,970,629.33/35,897.40
  6. Step 6: Final answer
    x = 28,970.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.