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Finding the Fourth Proportional to 52,832.63, 72,916.51 and 32,696

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Solution

The fourth proportional to 52,832.63, 72,916.51 and 32,696 is: 45,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,832.63 : 72,916.51 = 32,696 : x
  2. Step 2: Convert to fraction form
    52,832.63/72,916.51 = 32,696/x
  3. Step 3: Cross multiply
    52,832.63x = 72,916.51 × 32,696
  4. Step 4: Simplify right side
    52,832.63x = 2,384,078,210.96
  5. Step 5: Solve for x
    x = 2,384,078,210.96/52,832.63
  6. Step 6: Final answer
    x = 45,125.11

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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.