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Finding the Fourth Proportional to 56,417.28, 84,612 and 23,146.80

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Solution

The fourth proportional to 56,417.28, 84,612 and 23,146.80 is: 34,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,417.28 : 84,612 = 23,146.80 : x
  2. Step 2: Convert to fraction form
    56,417.28/84,612 = 23,146.80/x
  3. Step 3: Cross multiply
    56,417.28x = 84,612 × 23,146.80
  4. Step 4: Simplify right side
    56,417.28x = 1,958,497,041.60
  5. Step 5: Solve for x
    x = 1,958,497,041.60/56,417.28
  6. Step 6: Final answer
    x = 34,714.49

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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.