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Finding the Fourth Proportional to 32,066.42, 48,098.54 and 14,523.98

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Solution

The fourth proportional to 32,066.42, 48,098.54 and 14,523.98 is: 21,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.42 : 48,098.54 = 14,523.98 : x
  2. Step 2: Convert to fraction form
    32,066.42/48,098.54 = 14,523.98/x
  3. Step 3: Cross multiply
    32,066.42x = 48,098.54 × 14,523.98
  4. Step 4: Simplify right side
    32,066.42x = 698,582,028.81
  5. Step 5: Solve for x
    x = 698,582,028.81/32,066.42
  6. Step 6: Final answer
    x = 21,785.47

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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.