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Finding the Fourth Proportional to 53,428.95, 73,725.53 and 30,775.31

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Solution

The fourth proportional to 53,428.95, 73,725.53 and 30,775.31 is: 42,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,428.95 : 73,725.53 = 30,775.31 : x
  2. Step 2: Convert to fraction form
    53,428.95/73,725.53 = 30,775.31/x
  3. Step 3: Cross multiply
    53,428.95x = 73,725.53 × 30,775.31
  4. Step 4: Simplify right side
    53,428.95x = 2,268,926,071.10
  5. Step 5: Solve for x
    x = 2,268,926,071.10/53,428.95
  6. Step 6: Final answer
    x = 42,466.23

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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.