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Finding the Fourth Proportional to 98,794.02, 148,116.50 and 32,194.38

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Solution

The fourth proportional to 98,794.02, 148,116.50 and 32,194.38 is: 48,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,794.02 : 148,116.50 = 32,194.38 : x
  2. Step 2: Convert to fraction form
    98,794.02/148,116.50 = 32,194.38/x
  3. Step 3: Cross multiply
    98,794.02x = 148,116.50 × 32,194.38
  4. Step 4: Simplify right side
    98,794.02x = 4,768,518,885.27
  5. Step 5: Solve for x
    x = 4,768,518,885.27/98,794.02
  6. Step 6: Final answer
    x = 48,267.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.