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Finding the Fourth Proportional to 98,334, 135,702.54 and 53,622

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Solution

The fourth proportional to 98,334, 135,702.54 and 53,622 is: 73,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,334 : 135,702.54 = 53,622 : x
  2. Step 2: Convert to fraction form
    98,334/135,702.54 = 53,622/x
  3. Step 3: Cross multiply
    98,334x = 135,702.54 × 53,622
  4. Step 4: Simplify right side
    98,334x = 7,276,641,599.88
  5. Step 5: Solve for x
    x = 7,276,641,599.88/98,334
  6. Step 6: Final answer
    x = 73,999.24

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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.