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Finding the Fourth Proportional to 38,273.50, 52,822.38 and 21,506.50

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Solution

The fourth proportional to 38,273.50, 52,822.38 and 21,506.50 is: 29,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,273.50 : 52,822.38 = 21,506.50 : x
  2. Step 2: Convert to fraction form
    38,273.50/52,822.38 = 21,506.50/x
  3. Step 3: Cross multiply
    38,273.50x = 52,822.38 × 21,506.50
  4. Step 4: Simplify right side
    38,273.50x = 1,136,024,515.47
  5. Step 5: Solve for x
    x = 1,136,024,515.47/38,273.50
  6. Step 6: Final answer
    x = 29,681.75

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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.