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Finding the Fourth Proportional to 32,139.40, 48,216.30 and 9,953.80

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Solution

The fourth proportional to 32,139.40, 48,216.30 and 9,953.80 is: 14,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,139.40 : 48,216.30 = 9,953.80 : x
  2. Step 2: Convert to fraction form
    32,139.40/48,216.30 = 9,953.80/x
  3. Step 3: Cross multiply
    32,139.40x = 48,216.30 × 9,953.80
  4. Step 4: Simplify right side
    32,139.40x = 479,935,406.94
  5. Step 5: Solve for x
    x = 479,935,406.94/32,139.40
  6. Step 6: Final answer
    x = 14,932.93

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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.