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Finding the Fourth Proportional to 54,631.32, 75,406.32 and 31,975.08

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Solution

The fourth proportional to 54,631.32, 75,406.32 and 31,975.08 is: 44,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,631.32 : 75,406.32 = 31,975.08 : x
  2. Step 2: Convert to fraction form
    54,631.32/75,406.32 = 31,975.08/x
  3. Step 3: Cross multiply
    54,631.32x = 75,406.32 × 31,975.08
  4. Step 4: Simplify right side
    54,631.32x = 2,411,123,114.51
  5. Step 5: Solve for x
    x = 2,411,123,114.51/54,631.32
  6. Step 6: Final answer
    x = 44,134.45

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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.