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Finding the Fourth Proportional to 82,483.04, 123,724.50 and 47,400.32

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Solution

The fourth proportional to 82,483.04, 123,724.50 and 47,400.32 is: 71,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483.04 : 123,724.50 = 47,400.32 : x
  2. Step 2: Convert to fraction form
    82,483.04/123,724.50 = 47,400.32/x
  3. Step 3: Cross multiply
    82,483.04x = 123,724.50 × 47,400.32
  4. Step 4: Simplify right side
    82,483.04x = 5,864,580,891.84
  5. Step 5: Solve for x
    x = 5,864,580,891.84/82,483.04
  6. Step 6: Final answer
    x = 71,100.45

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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.