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Finding the Fourth Proportional to 54,693.76, 82,046.76 and 17,259.16

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Solution

The fourth proportional to 54,693.76, 82,046.76 and 17,259.16 is: 25,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693.76 : 82,046.76 = 17,259.16 : x
  2. Step 2: Convert to fraction form
    54,693.76/82,046.76 = 17,259.16/x
  3. Step 3: Cross multiply
    54,693.76x = 82,046.76 × 17,259.16
  4. Step 4: Simplify right side
    54,693.76x = 1,416,058,158.32
  5. Step 5: Solve for x
    x = 1,416,058,158.32/54,693.76
  6. Step 6: Final answer
    x = 25,890.67

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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.