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Finding the Fourth Proportional to 47,258.43, 70,968.54 and 31,564.32

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Solution

The fourth proportional to 47,258.43, 70,968.54 and 31,564.32 is: 47,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,258.43 : 70,968.54 = 31,564.32 : x
  2. Step 2: Convert to fraction form
    47,258.43/70,968.54 = 31,564.32/x
  3. Step 3: Cross multiply
    47,258.43x = 70,968.54 × 31,564.32
  4. Step 4: Simplify right side
    47,258.43x = 2,240,073,706.49
  5. Step 5: Solve for x
    x = 2,240,073,706.49/47,258.43
  6. Step 6: Final answer
    x = 47,400.51

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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.