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Finding the Fourth Proportional to 32,080.98, 48,127.50 and 12,357.84

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Solution

The fourth proportional to 32,080.98, 48,127.50 and 12,357.84 is: 18,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.98 : 48,127.50 = 12,357.84 : x
  2. Step 2: Convert to fraction form
    32,080.98/48,127.50 = 12,357.84/x
  3. Step 3: Cross multiply
    32,080.98x = 48,127.50 × 12,357.84
  4. Step 4: Simplify right side
    32,080.98x = 594,751,944.60
  5. Step 5: Solve for x
    x = 594,751,944.60/32,080.98
  6. Step 6: Final answer
    x = 18,539.08

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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.