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Finding the Fourth Proportional to 78,431.43, 117,595.14 and 28,505.60

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Solution

The fourth proportional to 78,431.43, 117,595.14 and 28,505.60 is: 42,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.43 : 117,595.14 = 28,505.60 : x
  2. Step 2: Convert to fraction form
    78,431.43/117,595.14 = 28,505.60/x
  3. Step 3: Cross multiply
    78,431.43x = 117,595.14 × 28,505.60
  4. Step 4: Simplify right side
    78,431.43x = 3,352,119,929.24
  5. Step 5: Solve for x
    x = 3,352,119,929.24/78,431.43
  6. Step 6: Final answer
    x = 42,739.50

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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.