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Finding the Fourth Proportional to 54,339, 74,964.06 and 38,437.08

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Solution

The fourth proportional to 54,339, 74,964.06 and 38,437.08 is: 53,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,339 : 74,964.06 = 38,437.08 : x
  2. Step 2: Convert to fraction form
    54,339/74,964.06 = 38,437.08/x
  3. Step 3: Cross multiply
    54,339x = 74,964.06 × 38,437.08
  4. Step 4: Simplify right side
    54,339x = 2,881,399,571.34
  5. Step 5: Solve for x
    x = 2,881,399,571.34/54,339
  6. Step 6: Final answer
    x = 53,026.36

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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.