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Finding the Fourth Proportional to 98,246, 135,579.50 and 53,534

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Solution

The fourth proportional to 98,246, 135,579.50 and 53,534 is: 73,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,246 : 135,579.50 = 53,534 : x
  2. Step 2: Convert to fraction form
    98,246/135,579.50 = 53,534/x
  3. Step 3: Cross multiply
    98,246x = 135,579.50 × 53,534
  4. Step 4: Simplify right side
    98,246x = 7,258,112,953
  5. Step 5: Solve for x
    x = 7,258,112,953/98,246
  6. Step 6: Final answer
    x = 73,876.93

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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.