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Finding the Fourth Proportional to 55,539.80, 76,646.78 and 30,389.32

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Solution

The fourth proportional to 55,539.80, 76,646.78 and 30,389.32 is: 41,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,539.80 : 76,646.78 = 30,389.32 : x
  2. Step 2: Convert to fraction form
    55,539.80/76,646.78 = 30,389.32/x
  3. Step 3: Cross multiply
    55,539.80x = 76,646.78 × 30,389.32
  4. Step 4: Simplify right side
    55,539.80x = 2,329,243,524.39
  5. Step 5: Solve for x
    x = 2,329,243,524.39/55,539.80
  6. Step 6: Final answer
    x = 41,938.28

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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.