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Finding the Fourth Proportional to 32,851.86, 49,280.51 and 14,132.35

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Solution

The fourth proportional to 32,851.86, 49,280.51 and 14,132.35 is: 21,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.86 : 49,280.51 = 14,132.35 : x
  2. Step 2: Convert to fraction form
    32,851.86/49,280.51 = 14,132.35/x
  3. Step 3: Cross multiply
    32,851.86x = 49,280.51 × 14,132.35
  4. Step 4: Simplify right side
    32,851.86x = 696,449,415.50
  5. Step 5: Solve for x
    x = 696,449,415.50/32,851.86
  6. Step 6: Final answer
    x = 21,199.70

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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.