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Finding the Fourth Proportional to 32,466.32, 48,702.26 and 11,404.53

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Solution

The fourth proportional to 32,466.32, 48,702.26 and 11,404.53 is: 17,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.32 : 48,702.26 = 11,404.53 : x
  2. Step 2: Convert to fraction form
    32,466.32/48,702.26 = 11,404.53/x
  3. Step 3: Cross multiply
    32,466.32x = 48,702.26 × 11,404.53
  4. Step 4: Simplify right side
    32,466.32x = 555,426,385.24
  5. Step 5: Solve for x
    x = 555,426,385.24/32,466.32
  6. Step 6: Final answer
    x = 17,107.77

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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.