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Finding the Fourth Proportional to 30,271.32, 45,407.01 and 14,472.63

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Solution

The fourth proportional to 30,271.32, 45,407.01 and 14,472.63 is: 21,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.32 : 45,407.01 = 14,472.63 : x
  2. Step 2: Convert to fraction form
    30,271.32/45,407.01 = 14,472.63/x
  3. Step 3: Cross multiply
    30,271.32x = 45,407.01 × 14,472.63
  4. Step 4: Simplify right side
    30,271.32x = 657,158,855.14
  5. Step 5: Solve for x
    x = 657,158,855.14/30,271.32
  6. Step 6: Final answer
    x = 21,708.96

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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.