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Finding the Fourth Proportional to 30,271.85, 45,407.81 and 14,473.17

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Solution

The fourth proportional to 30,271.85, 45,407.81 and 14,473.17 is: 21,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.85 : 45,407.81 = 14,473.17 : x
  2. Step 2: Convert to fraction form
    30,271.85/45,407.81 = 14,473.17/x
  3. Step 3: Cross multiply
    30,271.85x = 45,407.81 × 14,473.17
  4. Step 4: Simplify right side
    30,271.85x = 657,194,881.09
  5. Step 5: Solve for x
    x = 657,194,881.09/30,271.85
  6. Step 6: Final answer
    x = 21,709.77

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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.