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Finding the Fourth Proportional to 32,448.94, 48,675.30 and 9,075.40

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Solution

The fourth proportional to 32,448.94, 48,675.30 and 9,075.40 is: 13,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.94 : 48,675.30 = 9,075.40 : x
  2. Step 2: Convert to fraction form
    32,448.94/48,675.30 = 9,075.40/x
  3. Step 3: Cross multiply
    32,448.94x = 48,675.30 × 9,075.40
  4. Step 4: Simplify right side
    32,448.94x = 441,747,817.62
  5. Step 5: Solve for x
    x = 441,747,817.62/32,448.94
  6. Step 6: Final answer
    x = 13,613.63

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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.