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Finding the Fourth Proportional to 32,643.06, 48,946.74 and 10,147.50

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Solution

The fourth proportional to 32,643.06, 48,946.74 and 10,147.50 is: 15,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643.06 : 48,946.74 = 10,147.50 : x
  2. Step 2: Convert to fraction form
    32,643.06/48,946.74 = 10,147.50/x
  3. Step 3: Cross multiply
    32,643.06x = 48,946.74 × 10,147.50
  4. Step 4: Simplify right side
    32,643.06x = 496,687,044.15
  5. Step 5: Solve for x
    x = 496,687,044.15/32,643.06
  6. Step 6: Final answer
    x = 15,215.70

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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.