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Finding the Fourth Proportional to 54,985.36, 82,477.68 and 13,432

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Solution

The fourth proportional to 54,985.36, 82,477.68 and 13,432 is: 20,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,985.36 : 82,477.68 = 13,432 : x
  2. Step 2: Convert to fraction form
    54,985.36/82,477.68 = 13,432/x
  3. Step 3: Cross multiply
    54,985.36x = 82,477.68 × 13,432
  4. Step 4: Simplify right side
    54,985.36x = 1,107,840,197.76
  5. Step 5: Solve for x
    x = 1,107,840,197.76/54,985.36
  6. Step 6: Final answer
    x = 20,147.91

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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.