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Finding the Fourth Proportional to 34,521, 47,619.54 and 22,581.60

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Solution

The fourth proportional to 34,521, 47,619.54 and 22,581.60 is: 31,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,521 : 47,619.54 = 22,581.60 : x
  2. Step 2: Convert to fraction form
    34,521/47,619.54 = 22,581.60/x
  3. Step 3: Cross multiply
    34,521x = 47,619.54 × 22,581.60
  4. Step 4: Simplify right side
    34,521x = 1,075,325,404.46
  5. Step 5: Solve for x
    x = 1,075,325,404.46/34,521
  6. Step 6: Final answer
    x = 31,149.89

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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.