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Finding the Fourth Proportional to 46,956.75, 70,435.13 and 15,792

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Solution

The fourth proportional to 46,956.75, 70,435.13 and 15,792 is: 23,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,956.75 : 70,435.13 = 15,792 : x
  2. Step 2: Convert to fraction form
    46,956.75/70,435.13 = 15,792/x
  3. Step 3: Cross multiply
    46,956.75x = 70,435.13 × 15,792
  4. Step 4: Simplify right side
    46,956.75x = 1,112,311,494
  5. Step 5: Solve for x
    x = 1,112,311,494/46,956.75
  6. Step 6: Final answer
    x = 23,688

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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.