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Finding the Fourth Proportional to 56,847.36, 85,275.84 and 15,296.64

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Solution

The fourth proportional to 56,847.36, 85,275.84 and 15,296.64 is: 22,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,847.36 : 85,275.84 = 15,296.64 : x
  2. Step 2: Convert to fraction form
    56,847.36/85,275.84 = 15,296.64/x
  3. Step 3: Cross multiply
    56,847.36x = 85,275.84 × 15,296.64
  4. Step 4: Simplify right side
    56,847.36x = 1,304,433,825.18
  5. Step 5: Solve for x
    x = 1,304,433,825.18/56,847.36
  6. Step 6: Final answer
    x = 22,946.25

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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.