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Finding the Fourth Proportional to 46,970.49, 70,478.49 and 20,671.82

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Solution

The fourth proportional to 46,970.49, 70,478.49 and 20,671.82 is: 31,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,970.49 : 70,478.49 = 20,671.82 : x
  2. Step 2: Convert to fraction form
    46,970.49/70,478.49 = 20,671.82/x
  3. Step 3: Cross multiply
    46,970.49x = 70,478.49 × 20,671.82
  4. Step 4: Simplify right side
    46,970.49x = 1,456,918,306.76
  5. Step 5: Solve for x
    x = 1,456,918,306.76/46,970.49
  6. Step 6: Final answer
    x = 31,017.74

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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.