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Finding the Fourth Proportional to 35,900, 53,858.72 and 11,276

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Solution

The fourth proportional to 35,900, 53,858.72 and 11,276 is: 16,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,900 : 53,858.72 = 11,276 : x
  2. Step 2: Convert to fraction form
    35,900/53,858.72 = 11,276/x
  3. Step 3: Cross multiply
    35,900x = 53,858.72 × 11,276
  4. Step 4: Simplify right side
    35,900x = 607,310,926.72
  5. Step 5: Solve for x
    x = 607,310,926.72/35,900
  6. Step 6: Final answer
    x = 16,916.74

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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.