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Finding the Fourth Proportional to 56,676.60, 78,182.64 and 35,158.91

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Solution

The fourth proportional to 56,676.60, 78,182.64 and 35,158.91 is: 48,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,676.60 : 78,182.64 = 35,158.91 : x
  2. Step 2: Convert to fraction form
    56,676.60/78,182.64 = 35,158.91/x
  3. Step 3: Cross multiply
    56,676.60x = 78,182.64 × 35,158.91
  4. Step 4: Simplify right side
    56,676.60x = 2,748,816,012.41
  5. Step 5: Solve for x
    x = 2,748,816,012.41/56,676.60
  6. Step 6: Final answer
    x = 48,500.02

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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.