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Finding the Fourth Proportional to 38,701.68, 53,402.34 and 21,706.80

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Solution

The fourth proportional to 38,701.68, 53,402.34 and 21,706.80 is: 29,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.68 : 53,402.34 = 21,706.80 : x
  2. Step 2: Convert to fraction form
    38,701.68/53,402.34 = 21,706.80/x
  3. Step 3: Cross multiply
    38,701.68x = 53,402.34 × 21,706.80
  4. Step 4: Simplify right side
    38,701.68x = 1,159,193,913.91
  5. Step 5: Solve for x
    x = 1,159,193,913.91/38,701.68
  6. Step 6: Final answer
    x = 29,952.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.