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Finding the Fourth Proportional to 38,745.84, 53,468.76 and 22,830.96

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Solution

The fourth proportional to 38,745.84, 53,468.76 and 22,830.96 is: 31,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,745.84 : 53,468.76 = 22,830.96 : x
  2. Step 2: Convert to fraction form
    38,745.84/53,468.76 = 22,830.96/x
  3. Step 3: Cross multiply
    38,745.84x = 53,468.76 × 22,830.96
  4. Step 4: Simplify right side
    38,745.84x = 1,220,743,120.81
  5. Step 5: Solve for x
    x = 1,220,743,120.81/38,745.84
  6. Step 6: Final answer
    x = 31,506.43

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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.