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Finding the Fourth Proportional to 32,009.60, 48,010.62 and 8,637.86

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Solution

The fourth proportional to 32,009.60, 48,010.62 and 8,637.86 is: 12,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.60 : 48,010.62 = 8,637.86 : x
  2. Step 2: Convert to fraction form
    32,009.60/48,010.62 = 8,637.86/x
  3. Step 3: Cross multiply
    32,009.60x = 48,010.62 × 8,637.86
  4. Step 4: Simplify right side
    32,009.60x = 414,709,014.07
  5. Step 5: Solve for x
    x = 414,709,014.07/32,009.60
  6. Step 6: Final answer
    x = 12,955.77

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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.