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Finding the Fourth Proportional to 61,823.40, 92,662.20 and 46,222.80

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Solution

The fourth proportional to 61,823.40, 92,662.20 and 46,222.80 is: 69,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,823.40 : 92,662.20 = 46,222.80 : x
  2. Step 2: Convert to fraction form
    61,823.40/92,662.20 = 46,222.80/x
  3. Step 3: Cross multiply
    61,823.40x = 92,662.20 × 46,222.80
  4. Step 4: Simplify right side
    61,823.40x = 4,283,106,338.16
  5. Step 5: Solve for x
    x = 4,283,106,338.16/61,823.40
  6. Step 6: Final answer
    x = 69,279.70

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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.