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Finding the Fourth Proportional to 37,802.20, 56,645.70 and 35,728.60

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Solution

The fourth proportional to 37,802.20, 56,645.70 and 35,728.60 is: 53,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802.20 : 56,645.70 = 35,728.60 : x
  2. Step 2: Convert to fraction form
    37,802.20/56,645.70 = 35,728.60/x
  3. Step 3: Cross multiply
    37,802.20x = 56,645.70 × 35,728.60
  4. Step 4: Simplify right side
    37,802.20x = 2,023,871,557.02
  5. Step 5: Solve for x
    x = 2,023,871,557.02/37,802.20
  6. Step 6: Final answer
    x = 53,538.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.