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Finding the Fourth Proportional to 46,792.32, 70,057.92 and 31,969.92

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Solution

The fourth proportional to 46,792.32, 70,057.92 and 31,969.92 is: 47,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,792.32 : 70,057.92 = 31,969.92 : x
  2. Step 2: Convert to fraction form
    46,792.32/70,057.92 = 31,969.92/x
  3. Step 3: Cross multiply
    46,792.32x = 70,057.92 × 31,969.92
  4. Step 4: Simplify right side
    46,792.32x = 2,239,746,097.77
  5. Step 5: Solve for x
    x = 2,239,746,097.77/46,792.32
  6. Step 6: Final answer
    x = 47,865.68

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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.