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Finding the Fourth Proportional to 98,968.94, 148,451.32 and 24,089.50

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Solution

The fourth proportional to 98,968.94, 148,451.32 and 24,089.50 is: 36,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968.94 : 148,451.32 = 24,089.50 : x
  2. Step 2: Convert to fraction form
    98,968.94/148,451.32 = 24,089.50/x
  3. Step 3: Cross multiply
    98,968.94x = 148,451.32 × 24,089.50
  4. Step 4: Simplify right side
    98,968.94x = 3,576,118,288.82
  5. Step 5: Solve for x
    x = 3,576,118,288.82/98,968.94
  6. Step 6: Final answer
    x = 36,133.74

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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.