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Finding the Fourth Proportional to 35,702.34, 49,257.97 and 20,592.98

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Solution

The fourth proportional to 35,702.34, 49,257.97 and 20,592.98 is: 28,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.34 : 49,257.97 = 20,592.98 : x
  2. Step 2: Convert to fraction form
    35,702.34/49,257.97 = 20,592.98/x
  3. Step 3: Cross multiply
    35,702.34x = 49,257.97 × 20,592.98
  4. Step 4: Simplify right side
    35,702.34x = 1,014,368,144.76
  5. Step 5: Solve for x
    x = 1,014,368,144.76/35,702.34
  6. Step 6: Final answer
    x = 28,411.81

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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.