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Finding the Fourth Proportional to 47,507.16, 71,263.02 and 12,446.84

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Solution

The fourth proportional to 47,507.16, 71,263.02 and 12,446.84 is: 18,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,507.16 : 71,263.02 = 12,446.84 : x
  2. Step 2: Convert to fraction form
    47,507.16/71,263.02 = 12,446.84/x
  3. Step 3: Cross multiply
    47,507.16x = 71,263.02 × 12,446.84
  4. Step 4: Simplify right side
    47,507.16x = 886,999,407.86
  5. Step 5: Solve for x
    x = 886,999,407.86/47,507.16
  6. Step 6: Final answer
    x = 18,670.86

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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.