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Finding the Fourth Proportional to 54,378.16, 81,558 and 14,926

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Solution

The fourth proportional to 54,378.16, 81,558 and 14,926 is: 22,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378.16 : 81,558 = 14,926 : x
  2. Step 2: Convert to fraction form
    54,378.16/81,558 = 14,926/x
  3. Step 3: Cross multiply
    54,378.16x = 81,558 × 14,926
  4. Step 4: Simplify right side
    54,378.16x = 1,217,334,708
  5. Step 5: Solve for x
    x = 1,217,334,708/54,378.16
  6. Step 6: Final answer
    x = 22,386.46

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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.