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Finding the Fourth Proportional to 32,151.48, 48,148.98 and 22,263

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Solution

The fourth proportional to 32,151.48, 48,148.98 and 22,263 is: 33,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.48 : 48,148.98 = 22,263 : x
  2. Step 2: Convert to fraction form
    32,151.48/48,148.98 = 22,263/x
  3. Step 3: Cross multiply
    32,151.48x = 48,148.98 × 22,263
  4. Step 4: Simplify right side
    32,151.48x = 1,071,940,741.74
  5. Step 5: Solve for x
    x = 1,071,940,741.74/32,151.48
  6. Step 6: Final answer
    x = 33,340.32

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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.