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Finding the Fourth Proportional to 21,232.98, 32,049 and 21,232.98

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Solution

The fourth proportional to 21,232.98, 32,049 and 21,232.98 is: 32,049

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.98 : 32,049 = 21,232.98 : x
  2. Step 2: Convert to fraction form
    21,232.98/32,049 = 21,232.98/x
  3. Step 3: Cross multiply
    21,232.98x = 32,049 × 21,232.98
  4. Step 4: Simplify right side
    21,232.98x = 680,495,776.02
  5. Step 5: Solve for x
    x = 680,495,776.02/21,232.98
  6. Step 6: Final answer
    x = 32,049

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.