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Finding the Fourth Proportional to 78,025.52, 117,048 and 25,420.88

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Solution

The fourth proportional to 78,025.52, 117,048 and 25,420.88 is: 38,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,025.52 : 117,048 = 25,420.88 : x
  2. Step 2: Convert to fraction form
    78,025.52/117,048 = 25,420.88/x
  3. Step 3: Cross multiply
    78,025.52x = 117,048 × 25,420.88
  4. Step 4: Simplify right side
    78,025.52x = 2,975,463,162.24
  5. Step 5: Solve for x
    x = 2,975,463,162.24/78,025.52
  6. Step 6: Final answer
    x = 38,134.49

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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.