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Finding the Fourth Proportional to 98,093, 135,368.88 and 53,381

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Solution

The fourth proportional to 98,093, 135,368.88 and 53,381 is: 73,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,093 : 135,368.88 = 53,381 : x
  2. Step 2: Convert to fraction form
    98,093/135,368.88 = 53,381/x
  3. Step 3: Cross multiply
    98,093x = 135,368.88 × 53,381
  4. Step 4: Simplify right side
    98,093x = 7,226,126,183.28
  5. Step 5: Solve for x
    x = 7,226,126,183.28/98,093
  6. Step 6: Final answer
    x = 73,666.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.