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Finding the Fourth Proportional to 38,638, 53,323.68 and 24,485.68

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Solution

The fourth proportional to 38,638, 53,323.68 and 24,485.68 is: 33,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638 : 53,323.68 = 24,485.68 : x
  2. Step 2: Convert to fraction form
    38,638/53,323.68 = 24,485.68/x
  3. Step 3: Cross multiply
    38,638x = 53,323.68 × 24,485.68
  4. Step 4: Simplify right side
    38,638x = 1,305,666,564.90
  5. Step 5: Solve for x
    x = 1,305,666,564.90/38,638
  6. Step 6: Final answer
    x = 33,792.29

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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.