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Finding the Fourth Proportional to 58,012.64, 80,070.32 and 32,876

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Solution

The fourth proportional to 58,012.64, 80,070.32 and 32,876 is: 45,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,012.64 : 80,070.32 = 32,876 : x
  2. Step 2: Convert to fraction form
    58,012.64/80,070.32 = 32,876/x
  3. Step 3: Cross multiply
    58,012.64x = 80,070.32 × 32,876
  4. Step 4: Simplify right side
    58,012.64x = 2,632,391,840.32
  5. Step 5: Solve for x
    x = 2,632,391,840.32/58,012.64
  6. Step 6: Final answer
    x = 45,376.18

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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.