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Finding the Fourth Proportional to 38,415.20, 53,037.44 and 31,358.40

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Solution

The fourth proportional to 38,415.20, 53,037.44 and 31,358.40 is: 43,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.20 : 53,037.44 = 31,358.40 : x
  2. Step 2: Convert to fraction form
    38,415.20/53,037.44 = 31,358.40/x
  3. Step 3: Cross multiply
    38,415.20x = 53,037.44 × 31,358.40
  4. Step 4: Simplify right side
    38,415.20x = 1,663,169,258.50
  5. Step 5: Solve for x
    x = 1,663,169,258.50/38,415.20
  6. Step 6: Final answer
    x = 43,294.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.