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Finding the Fourth Proportional to 96,826.80, 145,261.80 and 37,657.20

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Solution

The fourth proportional to 96,826.80, 145,261.80 and 37,657.20 is: 56,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,826.80 : 145,261.80 = 37,657.20 : x
  2. Step 2: Convert to fraction form
    96,826.80/145,261.80 = 37,657.20/x
  3. Step 3: Cross multiply
    96,826.80x = 145,261.80 × 37,657.20
  4. Step 4: Simplify right side
    96,826.80x = 5,470,152,654.96
  5. Step 5: Solve for x
    x = 5,470,152,654.96/96,826.80
  6. Step 6: Final answer
    x = 56,494.20

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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.