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Finding the Fourth Proportional to 34,075.70, 51,113.55 and 10,702.10

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Solution

The fourth proportional to 34,075.70, 51,113.55 and 10,702.10 is: 16,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,075.70 : 51,113.55 = 10,702.10 : x
  2. Step 2: Convert to fraction form
    34,075.70/51,113.55 = 10,702.10/x
  3. Step 3: Cross multiply
    34,075.70x = 51,113.55 × 10,702.10
  4. Step 4: Simplify right side
    34,075.70x = 547,022,323.46
  5. Step 5: Solve for x
    x = 547,022,323.46/34,075.70
  6. Step 6: Final answer
    x = 16,053.15

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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.