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Finding the Fourth Proportional to 55,089, 82,634.28 and 13,536

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Solution

The fourth proportional to 55,089, 82,634.28 and 13,536 is: 20,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,089 : 82,634.28 = 13,536 : x
  2. Step 2: Convert to fraction form
    55,089/82,634.28 = 13,536/x
  3. Step 3: Cross multiply
    55,089x = 82,634.28 × 13,536
  4. Step 4: Simplify right side
    55,089x = 1,118,537,614.08
  5. Step 5: Solve for x
    x = 1,118,537,614.08/55,089
  6. Step 6: Final answer
    x = 20,304.19

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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.