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Finding the Fourth Proportional to 32,445.36, 48,658.32 and 11,664

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Solution

The fourth proportional to 32,445.36, 48,658.32 and 11,664 is: 17,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.36 : 48,658.32 = 11,664 : x
  2. Step 2: Convert to fraction form
    32,445.36/48,658.32 = 11,664/x
  3. Step 3: Cross multiply
    32,445.36x = 48,658.32 × 11,664
  4. Step 4: Simplify right side
    32,445.36x = 567,550,644.48
  5. Step 5: Solve for x
    x = 567,550,644.48/32,445.36
  6. Step 6: Final answer
    x = 17,492.51

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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.