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Finding the Fourth Proportional to 30,071.12, 41,484.30 and 19,464.16

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Solution

The fourth proportional to 30,071.12, 41,484.30 and 19,464.16 is: 26,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.12 : 41,484.30 = 19,464.16 : x
  2. Step 2: Convert to fraction form
    30,071.12/41,484.30 = 19,464.16/x
  3. Step 3: Cross multiply
    30,071.12x = 41,484.30 × 19,464.16
  4. Step 4: Simplify right side
    30,071.12x = 807,457,052.69
  5. Step 5: Solve for x
    x = 807,457,052.69/30,071.12
  6. Step 6: Final answer
    x = 26,851.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.