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Finding the Fourth Proportional to 98,735.60, 148,103.40 and 48,823.40

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Solution

The fourth proportional to 98,735.60, 148,103.40 and 48,823.40 is: 73,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,735.60 : 148,103.40 = 48,823.40 : x
  2. Step 2: Convert to fraction form
    98,735.60/148,103.40 = 48,823.40/x
  3. Step 3: Cross multiply
    98,735.60x = 148,103.40 × 48,823.40
  4. Step 4: Simplify right side
    98,735.60x = 7,230,911,539.56
  5. Step 5: Solve for x
    x = 7,230,911,539.56/98,735.60
  6. Step 6: Final answer
    x = 73,235.10

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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.