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Finding the Fourth Proportional to 53,278.16, 73,528.68 and 32,054

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Solution

The fourth proportional to 53,278.16, 73,528.68 and 32,054 is: 44,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,278.16 : 73,528.68 = 32,054 : x
  2. Step 2: Convert to fraction form
    53,278.16/73,528.68 = 32,054/x
  3. Step 3: Cross multiply
    53,278.16x = 73,528.68 × 32,054
  4. Step 4: Simplify right side
    53,278.16x = 2,356,888,308.72
  5. Step 5: Solve for x
    x = 2,356,888,308.72/53,278.16
  6. Step 6: Final answer
    x = 44,237.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.