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Finding the Fourth Proportional to 32,048.96, 48,076.48 and 8,675.52

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Solution

The fourth proportional to 32,048.96, 48,076.48 and 8,675.52 is: 13,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.96 : 48,076.48 = 8,675.52 : x
  2. Step 2: Convert to fraction form
    32,048.96/48,076.48 = 8,675.52/x
  3. Step 3: Cross multiply
    32,048.96x = 48,076.48 × 8,675.52
  4. Step 4: Simplify right side
    32,048.96x = 417,088,463.77
  5. Step 5: Solve for x
    x = 417,088,463.77/32,048.96
  6. Step 6: Final answer
    x = 13,014.10

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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.