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Finding the Fourth Proportional to 29,075.32, 43,625.94 and 10,603

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Solution

The fourth proportional to 29,075.32, 43,625.94 and 10,603 is: 15,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075.32 : 43,625.94 = 10,603 : x
  2. Step 2: Convert to fraction form
    29,075.32/43,625.94 = 10,603/x
  3. Step 3: Cross multiply
    29,075.32x = 43,625.94 × 10,603
  4. Step 4: Simplify right side
    29,075.32x = 462,565,841.82
  5. Step 5: Solve for x
    x = 462,565,841.82/29,075.32
  6. Step 6: Final answer
    x = 15,909.23

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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.