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Finding the Fourth Proportional to 82,414.80, 123,719.40 and 46,904.40

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Solution

The fourth proportional to 82,414.80, 123,719.40 and 46,904.40 is: 70,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.80 : 123,719.40 = 46,904.40 : x
  2. Step 2: Convert to fraction form
    82,414.80/123,719.40 = 46,904.40/x
  3. Step 3: Cross multiply
    82,414.80x = 123,719.40 × 46,904.40
  4. Step 4: Simplify right side
    82,414.80x = 5,802,984,225.36
  5. Step 5: Solve for x
    x = 5,802,984,225.36/82,414.80
  6. Step 6: Final answer
    x = 70,411.92

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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.