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Finding the Fourth Proportional to 37,912.32, 52,263.62 and 26,546

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Solution

The fourth proportional to 37,912.32, 52,263.62 and 26,546 is: 36,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,912.32 : 52,263.62 = 26,546 : x
  2. Step 2: Convert to fraction form
    37,912.32/52,263.62 = 26,546/x
  3. Step 3: Cross multiply
    37,912.32x = 52,263.62 × 26,546
  4. Step 4: Simplify right side
    37,912.32x = 1,387,390,056.52
  5. Step 5: Solve for x
    x = 1,387,390,056.52/37,912.32
  6. Step 6: Final answer
    x = 36,594.70

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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.