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Finding the Fourth Proportional to 51,594.40, 77,276.40 and 39,869.60

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Solution

The fourth proportional to 51,594.40, 77,276.40 and 39,869.60 is: 59,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,594.40 : 77,276.40 = 39,869.60 : x
  2. Step 2: Convert to fraction form
    51,594.40/77,276.40 = 39,869.60/x
  3. Step 3: Cross multiply
    51,594.40x = 77,276.40 × 39,869.60
  4. Step 4: Simplify right side
    51,594.40x = 3,080,979,157.44
  5. Step 5: Solve for x
    x = 3,080,979,157.44/51,594.40
  6. Step 6: Final answer
    x = 59,715.38

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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.