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Finding the Fourth Proportional to 35,741.80, 49,371.78 and 27,461.80

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Solution

The fourth proportional to 35,741.80, 49,371.78 and 27,461.80 is: 37,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.80 : 49,371.78 = 27,461.80 : x
  2. Step 2: Convert to fraction form
    35,741.80/49,371.78 = 27,461.80/x
  3. Step 3: Cross multiply
    35,741.80x = 49,371.78 × 27,461.80
  4. Step 4: Simplify right side
    35,741.80x = 1,355,837,948.00
  5. Step 5: Solve for x
    x = 1,355,837,948.00/35,741.80
  6. Step 6: Final answer
    x = 37,934.24

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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.