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Finding the Fourth Proportional to 42,537.76, 58,696.32 and 23,672.32

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Solution

The fourth proportional to 42,537.76, 58,696.32 and 23,672.32 is: 32,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,537.76 : 58,696.32 = 23,672.32 : x
  2. Step 2: Convert to fraction form
    42,537.76/58,696.32 = 23,672.32/x
  3. Step 3: Cross multiply
    42,537.76x = 58,696.32 × 23,672.32
  4. Step 4: Simplify right side
    42,537.76x = 1,389,478,069.86
  5. Step 5: Solve for x
    x = 1,389,478,069.86/42,537.76
  6. Step 6: Final answer
    x = 32,664.58

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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.