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Finding the Fourth Proportional to 46,911.81, 70,378.25 and 15,746.25

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Solution

The fourth proportional to 46,911.81, 70,378.25 and 15,746.25 is: 23,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,911.81 : 70,378.25 = 15,746.25 : x
  2. Step 2: Convert to fraction form
    46,911.81/70,378.25 = 15,746.25/x
  3. Step 3: Cross multiply
    46,911.81x = 70,378.25 × 15,746.25
  4. Step 4: Simplify right side
    46,911.81x = 1,108,193,440.33
  5. Step 5: Solve for x
    x = 1,108,193,440.33/46,911.81
  6. Step 6: Final answer
    x = 23,622.91

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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.