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Finding the Fourth Proportional to 38,130.56, 57,162 and 14,421.52

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Solution

The fourth proportional to 38,130.56, 57,162 and 14,421.52 is: 21,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,130.56 : 57,162 = 14,421.52 : x
  2. Step 2: Convert to fraction form
    38,130.56/57,162 = 14,421.52/x
  3. Step 3: Cross multiply
    38,130.56x = 57,162 × 14,421.52
  4. Step 4: Simplify right side
    38,130.56x = 824,362,926.24
  5. Step 5: Solve for x
    x = 824,362,926.24/38,130.56
  6. Step 6: Final answer
    x = 21,619.48

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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.