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Finding the Fourth Proportional to 35,888, 53,832.48 and 11,264

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Solution

The fourth proportional to 35,888, 53,832.48 and 11,264 is: 16,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888 : 53,832.48 = 11,264 : x
  2. Step 2: Convert to fraction form
    35,888/53,832.48 = 11,264/x
  3. Step 3: Cross multiply
    35,888x = 53,832.48 × 11,264
  4. Step 4: Simplify right side
    35,888x = 606,369,054.72
  5. Step 5: Solve for x
    x = 606,369,054.72/35,888
  6. Step 6: Final answer
    x = 16,896.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.