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Finding the Fourth Proportional to 38,965, 53,771.70 and 21,301

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Solution

The fourth proportional to 38,965, 53,771.70 and 21,301 is: 29,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965 : 53,771.70 = 21,301 : x
  2. Step 2: Convert to fraction form
    38,965/53,771.70 = 21,301/x
  3. Step 3: Cross multiply
    38,965x = 53,771.70 × 21,301
  4. Step 4: Simplify right side
    38,965x = 1,145,390,981.70
  5. Step 5: Solve for x
    x = 1,145,390,981.70/38,965
  6. Step 6: Final answer
    x = 29,395.38

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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.