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Finding the Fourth Proportional to 49,806.40, 74,750.40 and 49,417.60

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Solution

The fourth proportional to 49,806.40, 74,750.40 and 49,417.60 is: 74,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,806.40 : 74,750.40 = 49,417.60 : x
  2. Step 2: Convert to fraction form
    49,806.40/74,750.40 = 49,417.60/x
  3. Step 3: Cross multiply
    49,806.40x = 74,750.40 × 49,417.60
  4. Step 4: Simplify right side
    49,806.40x = 3,693,985,367.04
  5. Step 5: Solve for x
    x = 3,693,985,367.04/49,806.40
  6. Step 6: Final answer
    x = 74,166.88

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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.