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Finding the Fourth Proportional to 33,085.08, 49,598.44 and 12,294

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Solution

The fourth proportional to 33,085.08, 49,598.44 and 12,294 is: 18,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.08 : 49,598.44 = 12,294 : x
  2. Step 2: Convert to fraction form
    33,085.08/49,598.44 = 12,294/x
  3. Step 3: Cross multiply
    33,085.08x = 49,598.44 × 12,294
  4. Step 4: Simplify right side
    33,085.08x = 609,763,221.36
  5. Step 5: Solve for x
    x = 609,763,221.36/33,085.08
  6. Step 6: Final answer
    x = 18,430.16

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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.