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Finding the Fourth Proportional to 32,657.12, 45,085.92 and 23,696

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Solution

The fourth proportional to 32,657.12, 45,085.92 and 23,696 is: 32,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.12 : 45,085.92 = 23,696 : x
  2. Step 2: Convert to fraction form
    32,657.12/45,085.92 = 23,696/x
  3. Step 3: Cross multiply
    32,657.12x = 45,085.92 × 23,696
  4. Step 4: Simplify right side
    32,657.12x = 1,068,355,960.32
  5. Step 5: Solve for x
    x = 1,068,355,960.32/32,657.12
  6. Step 6: Final answer
    x = 32,714.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.