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Finding the Fourth Proportional to 38,332.32, 57,464.40 and 14,953.44

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Solution

The fourth proportional to 38,332.32, 57,464.40 and 14,953.44 is: 22,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,332.32 : 57,464.40 = 14,953.44 : x
  2. Step 2: Convert to fraction form
    38,332.32/57,464.40 = 14,953.44/x
  3. Step 3: Cross multiply
    38,332.32x = 57,464.40 × 14,953.44
  4. Step 4: Simplify right side
    38,332.32x = 859,290,457.54
  5. Step 5: Solve for x
    x = 859,290,457.54/38,332.32
  6. Step 6: Final answer
    x = 22,416.87

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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.