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Finding the Fourth Proportional to 32,066.46, 48,116.07 and 14,534.01

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Solution

The fourth proportional to 32,066.46, 48,116.07 and 14,534.01 is: 21,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.46 : 48,116.07 = 14,534.01 : x
  2. Step 2: Convert to fraction form
    32,066.46/48,116.07 = 14,534.01/x
  3. Step 3: Cross multiply
    32,066.46x = 48,116.07 × 14,534.01
  4. Step 4: Simplify right side
    32,066.46x = 699,319,442.54
  5. Step 5: Solve for x
    x = 699,319,442.54/32,066.46
  6. Step 6: Final answer
    x = 21,808.44

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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.