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Finding the Fourth Proportional to 82,984.80, 124,498.98 and 32,384.64

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Solution

The fourth proportional to 82,984.80, 124,498.98 and 32,384.64 is: 48,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,984.80 : 124,498.98 = 32,384.64 : x
  2. Step 2: Convert to fraction form
    82,984.80/124,498.98 = 32,384.64/x
  3. Step 3: Cross multiply
    82,984.80x = 124,498.98 × 32,384.64
  4. Step 4: Simplify right side
    82,984.80x = 4,031,854,647.67
  5. Step 5: Solve for x
    x = 4,031,854,647.67/82,984.80
  6. Step 6: Final answer
    x = 48,585.46

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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.