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Finding the Fourth Proportional to 56,292, 77,676.21 and 32,426.43

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Solution

The fourth proportional to 56,292, 77,676.21 and 32,426.43 is: 44,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,292 : 77,676.21 = 32,426.43 : x
  2. Step 2: Convert to fraction form
    56,292/77,676.21 = 32,426.43/x
  3. Step 3: Cross multiply
    56,292x = 77,676.21 × 32,426.43
  4. Step 4: Simplify right side
    56,292x = 2,518,762,186.23
  5. Step 5: Solve for x
    x = 2,518,762,186.23/56,292
  6. Step 6: Final answer
    x = 44,744.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.