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Finding the Fourth Proportional to 34,702.96, 52,075.86 and 13,639.30

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Solution

The fourth proportional to 34,702.96, 52,075.86 and 13,639.30 is: 20,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.96 : 52,075.86 = 13,639.30 : x
  2. Step 2: Convert to fraction form
    34,702.96/52,075.86 = 13,639.30/x
  3. Step 3: Cross multiply
    34,702.96x = 52,075.86 × 13,639.30
  4. Step 4: Simplify right side
    34,702.96x = 710,278,291.25
  5. Step 5: Solve for x
    x = 710,278,291.25/34,702.96
  6. Step 6: Final answer
    x = 20,467.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.