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Finding the Fourth Proportional to 82,352.80, 123,529.20 and 47,263.60

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Solution

The fourth proportional to 82,352.80, 123,529.20 and 47,263.60 is: 70,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,352.80 : 123,529.20 = 47,263.60 : x
  2. Step 2: Convert to fraction form
    82,352.80/123,529.20 = 47,263.60/x
  3. Step 3: Cross multiply
    82,352.80x = 123,529.20 × 47,263.60
  4. Step 4: Simplify right side
    82,352.80x = 5,838,434,697.12
  5. Step 5: Solve for x
    x = 5,838,434,697.12/82,352.80
  6. Step 6: Final answer
    x = 70,895.40

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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.