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Finding the Fourth Proportional to 32,446.50, 48,675.02 and 12,714.36

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Solution

The fourth proportional to 32,446.50, 48,675.02 and 12,714.36 is: 19,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.50 : 48,675.02 = 12,714.36 : x
  2. Step 2: Convert to fraction form
    32,446.50/48,675.02 = 12,714.36/x
  3. Step 3: Cross multiply
    32,446.50x = 48,675.02 × 12,714.36
  4. Step 4: Simplify right side
    32,446.50x = 618,871,663.72
  5. Step 5: Solve for x
    x = 618,871,663.72/32,446.50
  6. Step 6: Final answer
    x = 19,073.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.