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Finding the Fourth Proportional to 59,671.56, 82,312.38 and 35,784.30

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Solution

The fourth proportional to 59,671.56, 82,312.38 and 35,784.30 is: 49,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,671.56 : 82,312.38 = 35,784.30 : x
  2. Step 2: Convert to fraction form
    59,671.56/82,312.38 = 35,784.30/x
  3. Step 3: Cross multiply
    59,671.56x = 82,312.38 × 35,784.30
  4. Step 4: Simplify right side
    59,671.56x = 2,945,490,899.63
  5. Step 5: Solve for x
    x = 2,945,490,899.63/59,671.56
  6. Step 6: Final answer
    x = 49,361.72

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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.