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Finding the Fourth Proportional to 32,419.76, 48,566.16 and 28,893.44

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Solution

The fourth proportional to 32,419.76, 48,566.16 and 28,893.44 is: 43,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.76 : 48,566.16 = 28,893.44 : x
  2. Step 2: Convert to fraction form
    32,419.76/48,566.16 = 28,893.44/x
  3. Step 3: Cross multiply
    32,419.76x = 48,566.16 × 28,893.44
  4. Step 4: Simplify right side
    32,419.76x = 1,403,243,429.99
  5. Step 5: Solve for x
    x = 1,403,243,429.99/32,419.76
  6. Step 6: Final answer
    x = 43,283.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.