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Finding the Fourth Proportional to 38,692.29, 53,397.65 and 21,702.14

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Solution

The fourth proportional to 38,692.29, 53,397.65 and 21,702.14 is: 29,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692.29 : 53,397.65 = 21,702.14 : x
  2. Step 2: Convert to fraction form
    38,692.29/53,397.65 = 21,702.14/x
  3. Step 3: Cross multiply
    38,692.29x = 53,397.65 × 21,702.14
  4. Step 4: Simplify right side
    38,692.29x = 1,158,843,063.24
  5. Step 5: Solve for x
    x = 1,158,843,063.24/38,692.29
  6. Step 6: Final answer
    x = 29,950.23

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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.