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Finding the Fourth Proportional to 54,980.16, 82,459.90 and 15,537

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Solution

The fourth proportional to 54,980.16, 82,459.90 and 15,537 is: 23,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,980.16 : 82,459.90 = 15,537 : x
  2. Step 2: Convert to fraction form
    54,980.16/82,459.90 = 15,537/x
  3. Step 3: Cross multiply
    54,980.16x = 82,459.90 × 15,537
  4. Step 4: Simplify right side
    54,980.16x = 1,281,179,466.30
  5. Step 5: Solve for x
    x = 1,281,179,466.30/54,980.16
  6. Step 6: Final answer
    x = 23,302.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.