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Finding the Fourth Proportional to 64,701.34, 96,911.70 and 31,351.48

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Solution

The fourth proportional to 64,701.34, 96,911.70 and 31,351.48 is: 46,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701.34 : 96,911.70 = 31,351.48 : x
  2. Step 2: Convert to fraction form
    64,701.34/96,911.70 = 31,351.48/x
  3. Step 3: Cross multiply
    64,701.34x = 96,911.70 × 31,351.48
  4. Step 4: Simplify right side
    64,701.34x = 3,038,325,224.32
  5. Step 5: Solve for x
    x = 3,038,325,224.32/64,701.34
  6. Step 6: Final answer
    x = 46,959.23

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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.