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Finding the Fourth Proportional to 38,570.46, 53,231.19 and 23,464.20

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Solution

The fourth proportional to 38,570.46, 53,231.19 and 23,464.20 is: 32,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570.46 : 53,231.19 = 23,464.20 : x
  2. Step 2: Convert to fraction form
    38,570.46/53,231.19 = 23,464.20/x
  3. Step 3: Cross multiply
    38,570.46x = 53,231.19 × 23,464.20
  4. Step 4: Simplify right side
    38,570.46x = 1,249,027,288.40
  5. Step 5: Solve for x
    x = 1,249,027,288.40/38,570.46
  6. Step 6: Final answer
    x = 32,383.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.