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Finding the Fourth Proportional to 82,522.98, 113,880.87 and 46,712.34

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Solution

The fourth proportional to 82,522.98, 113,880.87 and 46,712.34 is: 64,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,522.98 : 113,880.87 = 46,712.34 : x
  2. Step 2: Convert to fraction form
    82,522.98/113,880.87 = 46,712.34/x
  3. Step 3: Cross multiply
    82,522.98x = 113,880.87 × 46,712.34
  4. Step 4: Simplify right side
    82,522.98x = 5,319,641,918.94
  5. Step 5: Solve for x
    x = 5,319,641,918.94/82,522.98
  6. Step 6: Final answer
    x = 64,462.55

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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.