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Finding the Fourth Proportional to 32,844.76, 49,272 and 12,066.64

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Solution

The fourth proportional to 32,844.76, 49,272 and 12,066.64 is: 18,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844.76 : 49,272 = 12,066.64 : x
  2. Step 2: Convert to fraction form
    32,844.76/49,272 = 12,066.64/x
  3. Step 3: Cross multiply
    32,844.76x = 49,272 × 12,066.64
  4. Step 4: Simplify right side
    32,844.76x = 594,547,486.08
  5. Step 5: Solve for x
    x = 594,547,486.08/32,844.76
  6. Step 6: Final answer
    x = 18,101.75

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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.