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Finding the Fourth Proportional to 82,000.69, 113,160.95 and 46,190.70

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Solution

The fourth proportional to 82,000.69, 113,160.95 and 46,190.70 is: 63,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,000.69 : 113,160.95 = 46,190.70 : x
  2. Step 2: Convert to fraction form
    82,000.69/113,160.95 = 46,190.70/x
  3. Step 3: Cross multiply
    82,000.69x = 113,160.95 × 46,190.70
  4. Step 4: Simplify right side
    82,000.69x = 5,226,983,493.17
  5. Step 5: Solve for x
    x = 5,226,983,493.17/82,000.69
  6. Step 6: Final answer
    x = 63,743.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.