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Finding the Fourth Proportional to 55,907.97, 83,751.26 and 36,200.40

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Solution

The fourth proportional to 55,907.97, 83,751.26 and 36,200.40 is: 54,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,907.97 : 83,751.26 = 36,200.40 : x
  2. Step 2: Convert to fraction form
    55,907.97/83,751.26 = 36,200.40/x
  3. Step 3: Cross multiply
    55,907.97x = 83,751.26 × 36,200.40
  4. Step 4: Simplify right side
    55,907.97x = 3,031,828,931.50
  5. Step 5: Solve for x
    x = 3,031,828,931.50/55,907.97
  6. Step 6: Final answer
    x = 54,228.92

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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.