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Finding the Fourth Proportional to 82,253.04, 113,507.11 and 45,954.77

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Solution

The fourth proportional to 82,253.04, 113,507.11 and 45,954.77 is: 63,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253.04 : 113,507.11 = 45,954.77 : x
  2. Step 2: Convert to fraction form
    82,253.04/113,507.11 = 45,954.77/x
  3. Step 3: Cross multiply
    82,253.04x = 113,507.11 × 45,954.77
  4. Step 4: Simplify right side
    82,253.04x = 5,216,192,877.94
  5. Step 5: Solve for x
    x = 5,216,192,877.94/82,253.04
  6. Step 6: Final answer
    x = 63,416.41

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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.