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Finding the Fourth Proportional to 33,088.08, 49,602.96 and 12,297

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Solution

The fourth proportional to 33,088.08, 49,602.96 and 12,297 is: 18,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088.08 : 49,602.96 = 12,297 : x
  2. Step 2: Convert to fraction form
    33,088.08/49,602.96 = 12,297/x
  3. Step 3: Cross multiply
    33,088.08x = 49,602.96 × 12,297
  4. Step 4: Simplify right side
    33,088.08x = 609,967,599.12
  5. Step 5: Solve for x
    x = 609,967,599.12/33,088.08
  6. Step 6: Final answer
    x = 18,434.66

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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.