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Finding the Fourth Proportional to 98,675.10, 148,014 and 32,115.51

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Solution

The fourth proportional to 98,675.10, 148,014 and 32,115.51 is: 48,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,675.10 : 148,014 = 32,115.51 : x
  2. Step 2: Convert to fraction form
    98,675.10/148,014 = 32,115.51/x
  3. Step 3: Cross multiply
    98,675.10x = 148,014 × 32,115.51
  4. Step 4: Simplify right side
    98,675.10x = 4,753,545,097.14
  5. Step 5: Solve for x
    x = 4,753,545,097.14/98,675.10
  6. Step 6: Final answer
    x = 48,173.70

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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.