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Finding the Fourth Proportional to 32,077.28, 48,115.90 and 14,303.36

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Solution

The fourth proportional to 32,077.28, 48,115.90 and 14,303.36 is: 21,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.28 : 48,115.90 = 14,303.36 : x
  2. Step 2: Convert to fraction form
    32,077.28/48,115.90 = 14,303.36/x
  3. Step 3: Cross multiply
    32,077.28x = 48,115.90 × 14,303.36
  4. Step 4: Simplify right side
    32,077.28x = 688,219,039.42
  5. Step 5: Solve for x
    x = 688,219,039.42/32,077.28
  6. Step 6: Final answer
    x = 21,455.03

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