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Finding the Fourth Proportional to 75,875.72, 113,825.94 and 28,494.48

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Solution

The fourth proportional to 75,875.72, 113,825.94 and 28,494.48 is: 42,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,875.72 : 113,825.94 = 28,494.48 : x
  2. Step 2: Convert to fraction form
    75,875.72/113,825.94 = 28,494.48/x
  3. Step 3: Cross multiply
    75,875.72x = 113,825.94 × 28,494.48
  4. Step 4: Simplify right side
    75,875.72x = 3,243,410,970.81
  5. Step 5: Solve for x
    x = 3,243,410,970.81/75,875.72
  6. Step 6: Final answer
    x = 42,746.36

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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.