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Finding the Fourth Proportional to 35,538.63, 49,042 and 19,622.74

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Solution

The fourth proportional to 35,538.63, 49,042 and 19,622.74 is: 27,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,538.63 : 49,042 = 19,622.74 : x
  2. Step 2: Convert to fraction form
    35,538.63/49,042 = 19,622.74/x
  3. Step 3: Cross multiply
    35,538.63x = 49,042 × 19,622.74
  4. Step 4: Simplify right side
    35,538.63x = 962,338,415.08
  5. Step 5: Solve for x
    x = 962,338,415.08/35,538.63
  6. Step 6: Final answer
    x = 27,078.66

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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.