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Finding the Fourth Proportional to 53,913.60, 80,870.40 and 49,766.40

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Solution

The fourth proportional to 53,913.60, 80,870.40 and 49,766.40 is: 74,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,913.60 : 80,870.40 = 49,766.40 : x
  2. Step 2: Convert to fraction form
    53,913.60/80,870.40 = 49,766.40/x
  3. Step 3: Cross multiply
    53,913.60x = 80,870.40 × 49,766.40
  4. Step 4: Simplify right side
    53,913.60x = 4,024,628,674.56
  5. Step 5: Solve for x
    x = 4,024,628,674.56/53,913.60
  6. Step 6: Final answer
    x = 74,649.60

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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.