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Finding the Fourth Proportional to 38,051.68, 52,512.78 and 21,284.68

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Solution

The fourth proportional to 38,051.68, 52,512.78 and 21,284.68 is: 29,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.68 : 52,512.78 = 21,284.68 : x
  2. Step 2: Convert to fraction form
    38,051.68/52,512.78 = 21,284.68/x
  3. Step 3: Cross multiply
    38,051.68x = 52,512.78 × 21,284.68
  4. Step 4: Simplify right side
    38,051.68x = 1,117,717,718.21
  5. Step 5: Solve for x
    x = 1,117,717,718.21/38,051.68
  6. Step 6: Final answer
    x = 29,373.68

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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.