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Finding the Fourth Proportional to 35,834.06, 53,751.09 and 12,460.50

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Solution

The fourth proportional to 35,834.06, 53,751.09 and 12,460.50 is: 18,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.06 : 53,751.09 = 12,460.50 : x
  2. Step 2: Convert to fraction form
    35,834.06/53,751.09 = 12,460.50/x
  3. Step 3: Cross multiply
    35,834.06x = 53,751.09 × 12,460.50
  4. Step 4: Simplify right side
    35,834.06x = 669,765,503.67
  5. Step 5: Solve for x
    x = 669,765,503.67/35,834.06
  6. Step 6: Final answer
    x = 18,690.75

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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.