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Finding the Fourth Proportional to 37,176, 51,303.36 and 20,409.60

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Solution

The fourth proportional to 37,176, 51,303.36 and 20,409.60 is: 28,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176 : 51,303.36 = 20,409.60 : x
  2. Step 2: Convert to fraction form
    37,176/51,303.36 = 20,409.60/x
  3. Step 3: Cross multiply
    37,176x = 51,303.36 × 20,409.60
  4. Step 4: Simplify right side
    37,176x = 1,047,081,056.26
  5. Step 5: Solve for x
    x = 1,047,081,056.26/37,176
  6. Step 6: Final answer
    x = 28,165.51

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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.