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Finding the Fourth Proportional to 32,986.64, 49,478.52 and 9,614

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Solution

The fourth proportional to 32,986.64, 49,478.52 and 9,614 is: 14,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986.64 : 49,478.52 = 9,614 : x
  2. Step 2: Convert to fraction form
    32,986.64/49,478.52 = 9,614/x
  3. Step 3: Cross multiply
    32,986.64x = 49,478.52 × 9,614
  4. Step 4: Simplify right side
    32,986.64x = 475,686,491.28
  5. Step 5: Solve for x
    x = 475,686,491.28/32,986.64
  6. Step 6: Final answer
    x = 14,420.58

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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.