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Finding the Fourth Proportional to 98,986.29, 148,464.69 and 32,428.89

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Solution

The fourth proportional to 98,986.29, 148,464.69 and 32,428.89 is: 48,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,986.29 : 148,464.69 = 32,428.89 : x
  2. Step 2: Convert to fraction form
    98,986.29/148,464.69 = 32,428.89/x
  3. Step 3: Cross multiply
    98,986.29x = 148,464.69 × 32,428.89
  4. Step 4: Simplify right side
    98,986.29x = 4,814,545,100.89
  5. Step 5: Solve for x
    x = 4,814,545,100.89/98,986.29
  6. Step 6: Final answer
    x = 48,638.50

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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.