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Finding the Fourth Proportional to 34,522, 47,620.92 and 22,582.60

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Solution

The fourth proportional to 34,522, 47,620.92 and 22,582.60 is: 31,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,522 : 47,620.92 = 22,582.60 : x
  2. Step 2: Convert to fraction form
    34,522/47,620.92 = 22,582.60/x
  3. Step 3: Cross multiply
    34,522x = 47,620.92 × 22,582.60
  4. Step 4: Simplify right side
    34,522x = 1,075,404,187.99
  5. Step 5: Solve for x
    x = 1,075,404,187.99/34,522
  6. Step 6: Final answer
    x = 31,151.27

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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.