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Finding the Fourth Proportional to 50,547.60, 75,821.40 and 49,672.80

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Solution

The fourth proportional to 50,547.60, 75,821.40 and 49,672.80 is: 74,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.60 : 75,821.40 = 49,672.80 : x
  2. Step 2: Convert to fraction form
    50,547.60/75,821.40 = 49,672.80/x
  3. Step 3: Cross multiply
    50,547.60x = 75,821.40 × 49,672.80
  4. Step 4: Simplify right side
    50,547.60x = 3,766,261,237.92
  5. Step 5: Solve for x
    x = 3,766,261,237.92/50,547.60
  6. Step 6: Final answer
    x = 74,509.20

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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.