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Finding the Fourth Proportional to 32,491.63, 48,729.95 and 10,300.87

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Solution

The fourth proportional to 32,491.63, 48,729.95 and 10,300.87 is: 15,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.63 : 48,729.95 = 10,300.87 : x
  2. Step 2: Convert to fraction form
    32,491.63/48,729.95 = 10,300.87/x
  3. Step 3: Cross multiply
    32,491.63x = 48,729.95 × 10,300.87
  4. Step 4: Simplify right side
    32,491.63x = 501,960,584.90
  5. Step 5: Solve for x
    x = 501,960,584.90/32,491.63
  6. Step 6: Final answer
    x = 15,448.92

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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.