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Finding the Fourth Proportional to 82,029.70, 122,948.54 and 37,660.72

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Solution

The fourth proportional to 82,029.70, 122,948.54 and 37,660.72 is: 56,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029.70 : 122,948.54 = 37,660.72 : x
  2. Step 2: Convert to fraction form
    82,029.70/122,948.54 = 37,660.72/x
  3. Step 3: Cross multiply
    82,029.70x = 122,948.54 × 37,660.72
  4. Step 4: Simplify right side
    82,029.70x = 4,630,330,539.35
  5. Step 5: Solve for x
    x = 4,630,330,539.35/82,029.70
  6. Step 6: Final answer
    x = 56,447.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.