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Finding the Fourth Proportional to 37,176.96, 51,303.06 and 20,180.40

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Solution

The fourth proportional to 37,176.96, 51,303.06 and 20,180.40 is: 27,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.96 : 51,303.06 = 20,180.40 : x
  2. Step 2: Convert to fraction form
    37,176.96/51,303.06 = 20,180.40/x
  3. Step 3: Cross multiply
    37,176.96x = 51,303.06 × 20,180.40
  4. Step 4: Simplify right side
    37,176.96x = 1,035,316,272.02
  5. Step 5: Solve for x
    x = 1,035,316,272.02/37,176.96
  6. Step 6: Final answer
    x = 27,848.33

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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.