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Finding the Fourth Proportional to 30,867.62, 46,307.91 and 10,089.50

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Solution

The fourth proportional to 30,867.62, 46,307.91 and 10,089.50 is: 15,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.62 : 46,307.91 = 10,089.50 : x
  2. Step 2: Convert to fraction form
    30,867.62/46,307.91 = 10,089.50/x
  3. Step 3: Cross multiply
    30,867.62x = 46,307.91 × 10,089.50
  4. Step 4: Simplify right side
    30,867.62x = 467,223,657.95
  5. Step 5: Solve for x
    x = 467,223,657.95/30,867.62
  6. Step 6: Final answer
    x = 15,136.37

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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.