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Finding the Fourth Proportional to 30,111.41, 45,143 and 14,308.51

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Solution

The fourth proportional to 30,111.41, 45,143 and 14,308.51 is: 21,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111.41 : 45,143 = 14,308.51 : x
  2. Step 2: Convert to fraction form
    30,111.41/45,143 = 14,308.51/x
  3. Step 3: Cross multiply
    30,111.41x = 45,143 × 14,308.51
  4. Step 4: Simplify right side
    30,111.41x = 645,929,066.93
  5. Step 5: Solve for x
    x = 645,929,066.93/30,111.41
  6. Step 6: Final answer
    x = 21,451.31

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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.