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Finding the Fourth Proportional to 56,506.40, 84,762.84 and 17,067.50

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Solution

The fourth proportional to 56,506.40, 84,762.84 and 17,067.50 is: 25,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506.40 : 84,762.84 = 17,067.50 : x
  2. Step 2: Convert to fraction form
    56,506.40/84,762.84 = 17,067.50/x
  3. Step 3: Cross multiply
    56,506.40x = 84,762.84 × 17,067.50
  4. Step 4: Simplify right side
    56,506.40x = 1,446,689,771.70
  5. Step 5: Solve for x
    x = 1,446,689,771.70/56,506.40
  6. Step 6: Final answer
    x = 25,602.23

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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.