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Finding the Fourth Proportional to 82,225.52, 113,463.04 and 46,408.63

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Solution

The fourth proportional to 82,225.52, 113,463.04 and 46,408.63 is: 64,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225.52 : 113,463.04 = 46,408.63 : x
  2. Step 2: Convert to fraction form
    82,225.52/113,463.04 = 46,408.63/x
  3. Step 3: Cross multiply
    82,225.52x = 113,463.04 × 46,408.63
  4. Step 4: Simplify right side
    82,225.52x = 5,265,664,242.04
  5. Step 5: Solve for x
    x = 5,265,664,242.04/82,225.52
  6. Step 6: Final answer
    x = 64,039.29

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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.