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Finding the Fourth Proportional to 30,511, 42,075.61 and 23,794.18

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Solution

The fourth proportional to 30,511, 42,075.61 and 23,794.18 is: 32,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511 : 42,075.61 = 23,794.18 : x
  2. Step 2: Convert to fraction form
    30,511/42,075.61 = 23,794.18/x
  3. Step 3: Cross multiply
    30,511x = 42,075.61 × 23,794.18
  4. Step 4: Simplify right side
    30,511x = 1,001,154,637.95
  5. Step 5: Solve for x
    x = 1,001,154,637.95/30,511
  6. Step 6: Final answer
    x = 32,812.91

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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.