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Finding the Fourth Proportional to 55,823.45, 83,806.23 and 36,184.19

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Solution

The fourth proportional to 55,823.45, 83,806.23 and 36,184.19 is: 54,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,823.45 : 83,806.23 = 36,184.19 : x
  2. Step 2: Convert to fraction form
    55,823.45/83,806.23 = 36,184.19/x
  3. Step 3: Cross multiply
    55,823.45x = 83,806.23 × 36,184.19
  4. Step 4: Simplify right side
    55,823.45x = 3,032,460,549.50
  5. Step 5: Solve for x
    x = 3,032,460,549.50/55,823.45
  6. Step 6: Final answer
    x = 54,322.34

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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.