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Finding the Fourth Proportional to 37,758.48, 56,645.96 and 11,465.20

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Solution

The fourth proportional to 37,758.48, 56,645.96 and 11,465.20 is: 17,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.48 : 56,645.96 = 11,465.20 : x
  2. Step 2: Convert to fraction form
    37,758.48/56,645.96 = 11,465.20/x
  3. Step 3: Cross multiply
    37,758.48x = 56,645.96 × 11,465.20
  4. Step 4: Simplify right side
    37,758.48x = 649,457,260.59
  5. Step 5: Solve for x
    x = 649,457,260.59/37,758.48
  6. Step 6: Final answer
    x = 17,200.30

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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.