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Finding the Fourth Proportional to 38,513.64, 53,146.92 and 21,514.50

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Solution

The fourth proportional to 38,513.64, 53,146.92 and 21,514.50 is: 29,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.64 : 53,146.92 = 21,514.50 : x
  2. Step 2: Convert to fraction form
    38,513.64/53,146.92 = 21,514.50/x
  3. Step 3: Cross multiply
    38,513.64x = 53,146.92 × 21,514.50
  4. Step 4: Simplify right side
    38,513.64x = 1,143,429,410.34
  5. Step 5: Solve for x
    x = 1,143,429,410.34/38,513.64
  6. Step 6: Final answer
    x = 29,688.95

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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.