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Finding the Fourth Proportional to 32,153.48, 48,151.98 and 22,265

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Solution

The fourth proportional to 32,153.48, 48,151.98 and 22,265 is: 33,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.48 : 48,151.98 = 22,265 : x
  2. Step 2: Convert to fraction form
    32,153.48/48,151.98 = 22,265/x
  3. Step 3: Cross multiply
    32,153.48x = 48,151.98 × 22,265
  4. Step 4: Simplify right side
    32,153.48x = 1,072,103,834.70
  5. Step 5: Solve for x
    x = 1,072,103,834.70/32,153.48
  6. Step 6: Final answer
    x = 33,343.32

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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.