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Finding the Fourth Proportional to 35,762.34, 49,349.73 and 19,846.80

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Solution

The fourth proportional to 35,762.34, 49,349.73 and 19,846.80 is: 27,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.34 : 49,349.73 = 19,846.80 : x
  2. Step 2: Convert to fraction form
    35,762.34/49,349.73 = 19,846.80/x
  3. Step 3: Cross multiply
    35,762.34x = 49,349.73 × 19,846.80
  4. Step 4: Simplify right side
    35,762.34x = 979,434,221.36
  5. Step 5: Solve for x
    x = 979,434,221.36/35,762.34
  6. Step 6: Final answer
    x = 27,387.31

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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.