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Finding the Fourth Proportional to 30,702.65, 46,075.12 and 10,712.25

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Solution

The fourth proportional to 30,702.65, 46,075.12 and 10,712.25 is: 16,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.65 : 46,075.12 = 10,712.25 : x
  2. Step 2: Convert to fraction form
    30,702.65/46,075.12 = 10,712.25/x
  3. Step 3: Cross multiply
    30,702.65x = 46,075.12 × 10,712.25
  4. Step 4: Simplify right side
    30,702.65x = 493,568,204.22
  5. Step 5: Solve for x
    x = 493,568,204.22/30,702.65
  6. Step 6: Final answer
    x = 16,075.75

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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.