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Finding the Fourth Proportional to 39,575.32, 54,613.72 and 21,426

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Solution

The fourth proportional to 39,575.32, 54,613.72 and 21,426 is: 29,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,575.32 : 54,613.72 = 21,426 : x
  2. Step 2: Convert to fraction form
    39,575.32/54,613.72 = 21,426/x
  3. Step 3: Cross multiply
    39,575.32x = 54,613.72 × 21,426
  4. Step 4: Simplify right side
    39,575.32x = 1,170,153,564.72
  5. Step 5: Solve for x
    x = 1,170,153,564.72/39,575.32
  6. Step 6: Final answer
    x = 29,567.76

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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.