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Finding the Fourth Proportional to 38,196, 52,710.96 and 21,200.64

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Solution

The fourth proportional to 38,196, 52,710.96 and 21,200.64 is: 29,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196 : 52,710.96 = 21,200.64 : x
  2. Step 2: Convert to fraction form
    38,196/52,710.96 = 21,200.64/x
  3. Step 3: Cross multiply
    38,196x = 52,710.96 × 21,200.64
  4. Step 4: Simplify right side
    38,196x = 1,117,506,087.01
  5. Step 5: Solve for x
    x = 1,117,506,087.01/38,196
  6. Step 6: Final answer
    x = 29,257.15

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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.