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Finding the Fourth Proportional to 97,766.48, 146,657.61 and 31,216.07

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Solution

The fourth proportional to 97,766.48, 146,657.61 and 31,216.07 is: 46,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,766.48 : 146,657.61 = 31,216.07 : x
  2. Step 2: Convert to fraction form
    97,766.48/146,657.61 = 31,216.07/x
  3. Step 3: Cross multiply
    97,766.48x = 146,657.61 × 31,216.07
  4. Step 4: Simplify right side
    97,766.48x = 4,578,073,486.50
  5. Step 5: Solve for x
    x = 4,578,073,486.50/97,766.48
  6. Step 6: Final answer
    x = 46,826.62

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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.