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Finding the Fourth Proportional to 55,981.80, 83,994.57 and 20,924.19

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Solution

The fourth proportional to 55,981.80, 83,994.57 and 20,924.19 is: 31,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,981.80 : 83,994.57 = 20,924.19 : x
  2. Step 2: Convert to fraction form
    55,981.80/83,994.57 = 20,924.19/x
  3. Step 3: Cross multiply
    55,981.80x = 83,994.57 × 20,924.19
  4. Step 4: Simplify right side
    55,981.80x = 1,757,518,341.65
  5. Step 5: Solve for x
    x = 1,757,518,341.65/55,981.80
  6. Step 6: Final answer
    x = 31,394.46

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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.