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Finding the Fourth Proportional to 46,675.49, 70,022.19 and 25,604

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Solution

The fourth proportional to 46,675.49, 70,022.19 and 25,604 is: 38,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,675.49 : 70,022.19 = 25,604 : x
  2. Step 2: Convert to fraction form
    46,675.49/70,022.19 = 25,604/x
  3. Step 3: Cross multiply
    46,675.49x = 70,022.19 × 25,604
  4. Step 4: Simplify right side
    46,675.49x = 1,792,848,152.76
  5. Step 5: Solve for x
    x = 1,792,848,152.76/46,675.49
  6. Step 6: Final answer
    x = 38,410.91

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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.