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Finding the Fourth Proportional to 54,970.25, 82,455.57 and 13,417.25

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Solution

The fourth proportional to 54,970.25, 82,455.57 and 13,417.25 is: 20,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970.25 : 82,455.57 = 13,417.25 : x
  2. Step 2: Convert to fraction form
    54,970.25/82,455.57 = 13,417.25/x
  3. Step 3: Cross multiply
    54,970.25x = 82,455.57 × 13,417.25
  4. Step 4: Simplify right side
    54,970.25x = 1,106,326,584.30
  5. Step 5: Solve for x
    x = 1,106,326,584.30/54,970.25
  6. Step 6: Final answer
    x = 20,125.92

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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.