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Finding the Fourth Proportional to 38,205, 52,723.62 and 21,437.64

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Solution

The fourth proportional to 38,205, 52,723.62 and 21,437.64 is: 29,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205 : 52,723.62 = 21,437.64 : x
  2. Step 2: Convert to fraction form
    38,205/52,723.62 = 21,437.64/x
  3. Step 3: Cross multiply
    38,205x = 52,723.62 × 21,437.64
  4. Step 4: Simplify right side
    38,205x = 1,130,269,985.06
  5. Step 5: Solve for x
    x = 1,130,269,985.06/38,205
  6. Step 6: Final answer
    x = 29,584.35

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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.