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Finding the Fourth Proportional to 75,673.81, 113,509.65 and 25,788.65

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Solution

The fourth proportional to 75,673.81, 113,509.65 and 25,788.65 is: 38,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,673.81 : 113,509.65 = 25,788.65 : x
  2. Step 2: Convert to fraction form
    75,673.81/113,509.65 = 25,788.65/x
  3. Step 3: Cross multiply
    75,673.81x = 113,509.65 × 25,788.65
  4. Step 4: Simplify right side
    75,673.81x = 2,927,260,164.63
  5. Step 5: Solve for x
    x = 2,927,260,164.63/75,673.81
  6. Step 6: Final answer
    x = 38,682.61

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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.