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Finding the Fourth Proportional to 38,852.64, 53,634 and 29,896.80

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Solution

The fourth proportional to 38,852.64, 53,634 and 29,896.80 is: 41,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,852.64 : 53,634 = 29,896.80 : x
  2. Step 2: Convert to fraction form
    38,852.64/53,634 = 29,896.80/x
  3. Step 3: Cross multiply
    38,852.64x = 53,634 × 29,896.80
  4. Step 4: Simplify right side
    38,852.64x = 1,603,484,971.20
  5. Step 5: Solve for x
    x = 1,603,484,971.20/38,852.64
  6. Step 6: Final answer
    x = 41,270.94

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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.