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Finding the Fourth Proportional to 54,051.12, 74,559.51 and 32,526

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Solution

The fourth proportional to 54,051.12, 74,559.51 and 32,526 is: 44,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,051.12 : 74,559.51 = 32,526 : x
  2. Step 2: Convert to fraction form
    54,051.12/74,559.51 = 32,526/x
  3. Step 3: Cross multiply
    54,051.12x = 74,559.51 × 32,526
  4. Step 4: Simplify right side
    54,051.12x = 2,425,122,622.26
  5. Step 5: Solve for x
    x = 2,425,122,622.26/54,051.12
  6. Step 6: Final answer
    x = 44,867.20

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Why These Related Problems?

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