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Finding the Fourth Proportional to 32,208.66, 48,303.27 and 19,057.50

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Solution

The fourth proportional to 32,208.66, 48,303.27 and 19,057.50 is: 28,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.66 : 48,303.27 = 19,057.50 : x
  2. Step 2: Convert to fraction form
    32,208.66/48,303.27 = 19,057.50/x
  3. Step 3: Cross multiply
    32,208.66x = 48,303.27 × 19,057.50
  4. Step 4: Simplify right side
    32,208.66x = 920,539,568.03
  5. Step 5: Solve for x
    x = 920,539,568.03/32,208.66
  6. Step 6: Final answer
    x = 28,580.50

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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.