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Finding the Fourth Proportional to 56,301, 84,451.50 and 21,232.46

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Solution

The fourth proportional to 56,301, 84,451.50 and 21,232.46 is: 31,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,301 : 84,451.50 = 21,232.46 : x
  2. Step 2: Convert to fraction form
    56,301/84,451.50 = 21,232.46/x
  3. Step 3: Cross multiply
    56,301x = 84,451.50 × 21,232.46
  4. Step 4: Simplify right side
    56,301x = 1,793,112,673.43
  5. Step 5: Solve for x
    x = 1,793,112,673.43/56,301
  6. Step 6: Final answer
    x = 31,848.68

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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.