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Finding the Fourth Proportional to 56,755.29, 78,324.38 and 35,256.89

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Solution

The fourth proportional to 56,755.29, 78,324.38 and 35,256.89 is: 48,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,755.29 : 78,324.38 = 35,256.89 : x
  2. Step 2: Convert to fraction form
    56,755.29/78,324.38 = 35,256.89/x
  3. Step 3: Cross multiply
    56,755.29x = 78,324.38 × 35,256.89
  4. Step 4: Simplify right side
    56,755.29x = 2,761,473,482.07
  5. Step 5: Solve for x
    x = 2,761,473,482.07/56,755.29
  6. Step 6: Final answer
    x = 48,655.79

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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.