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Finding the Fourth Proportional to 54,970.56, 82,345.92 and 25,347.84

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Solution

The fourth proportional to 54,970.56, 82,345.92 and 25,347.84 is: 37,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970.56 : 82,345.92 = 25,347.84 : x
  2. Step 2: Convert to fraction form
    54,970.56/82,345.92 = 25,347.84/x
  3. Step 3: Cross multiply
    54,970.56x = 82,345.92 × 25,347.84
  4. Step 4: Simplify right side
    54,970.56x = 2,087,291,204.81
  5. Step 5: Solve for x
    x = 2,087,291,204.81/54,970.56
  6. Step 6: Final answer
    x = 37,971.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.