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Finding the Fourth Proportional to 55,462.60, 83,271.36 and 28,463.83

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Solution

The fourth proportional to 55,462.60, 83,271.36 and 28,463.83 is: 42,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462.60 : 83,271.36 = 28,463.83 : x
  2. Step 2: Convert to fraction form
    55,462.60/83,271.36 = 28,463.83/x
  3. Step 3: Cross multiply
    55,462.60x = 83,271.36 × 28,463.83
  4. Step 4: Simplify right side
    55,462.60x = 2,370,221,807.56
  5. Step 5: Solve for x
    x = 2,370,221,807.56/55,462.60
  6. Step 6: Final answer
    x = 42,735.50

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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.