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Finding the Fourth Proportional to 98,802.17, 148,218.74 and 32,226.92

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Solution

The fourth proportional to 98,802.17, 148,218.74 and 32,226.92 is: 48,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,802.17 : 148,218.74 = 32,226.92 : x
  2. Step 2: Convert to fraction form
    98,802.17/148,218.74 = 32,226.92/x
  3. Step 3: Cross multiply
    98,802.17x = 148,218.74 × 32,226.92
  4. Step 4: Simplify right side
    98,802.17x = 4,776,633,847.03
  5. Step 5: Solve for x
    x = 4,776,633,847.03/98,802.17
  6. Step 6: Final answer
    x = 48,345.44

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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.