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Finding the Fourth Proportional to 98,963.70, 148,466.60 and 28,837.14

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Solution

The fourth proportional to 98,963.70, 148,466.60 and 28,837.14 is: 43,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,963.70 : 148,466.60 = 28,837.14 : x
  2. Step 2: Convert to fraction form
    98,963.70/148,466.60 = 28,837.14/x
  3. Step 3: Cross multiply
    98,963.70x = 148,466.60 × 28,837.14
  4. Step 4: Simplify right side
    98,963.70x = 4,281,352,129.52
  5. Step 5: Solve for x
    x = 4,281,352,129.52/98,963.70
  6. Step 6: Final answer
    x = 43,261.84

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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.