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Finding the Fourth Proportional to 96,478.96, 133,145.08 and 56,186.22

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Solution

The fourth proportional to 96,478.96, 133,145.08 and 56,186.22 is: 77,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,478.96 : 133,145.08 = 56,186.22 : x
  2. Step 2: Convert to fraction form
    96,478.96/133,145.08 = 56,186.22/x
  3. Step 3: Cross multiply
    96,478.96x = 133,145.08 × 56,186.22
  4. Step 4: Simplify right side
    96,478.96x = 7,480,918,756.80
  5. Step 5: Solve for x
    x = 7,480,918,756.80/96,478.96
  6. Step 6: Final answer
    x = 77,539.38

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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.