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Finding the Fourth Proportional to 32,462.56, 48,674.13 and 12,717.46

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Solution

The fourth proportional to 32,462.56, 48,674.13 and 12,717.46 is: 19,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.56 : 48,674.13 = 12,717.46 : x
  2. Step 2: Convert to fraction form
    32,462.56/48,674.13 = 12,717.46/x
  3. Step 3: Cross multiply
    32,462.56x = 48,674.13 × 12,717.46
  4. Step 4: Simplify right side
    32,462.56x = 619,011,301.31
  5. Step 5: Solve for x
    x = 619,011,301.31/32,462.56
  6. Step 6: Final answer
    x = 19,068.47

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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.