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Finding the Fourth Proportional to 82,154.64, 113,373 and 44,428.80

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Solution

The fourth proportional to 82,154.64, 113,373 and 44,428.80 is: 61,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154.64 : 113,373 = 44,428.80 : x
  2. Step 2: Convert to fraction form
    82,154.64/113,373 = 44,428.80/x
  3. Step 3: Cross multiply
    82,154.64x = 113,373 × 44,428.80
  4. Step 4: Simplify right side
    82,154.64x = 5,037,026,342.40
  5. Step 5: Solve for x
    x = 5,037,026,342.40/82,154.64
  6. Step 6: Final answer
    x = 61,311.53

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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.