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Finding the Fourth Proportional to 98,690.53, 148,051.34 and 42,546.60

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Solution

The fourth proportional to 98,690.53, 148,051.34 and 42,546.60 is: 63,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,690.53 : 148,051.34 = 42,546.60 : x
  2. Step 2: Convert to fraction form
    98,690.53/148,051.34 = 42,546.60/x
  3. Step 3: Cross multiply
    98,690.53x = 148,051.34 × 42,546.60
  4. Step 4: Simplify right side
    98,690.53x = 6,299,081,142.44
  5. Step 5: Solve for x
    x = 6,299,081,142.44/98,690.53
  6. Step 6: Final answer
    x = 63,826.60

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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.