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Finding the Fourth Proportional to 32,577.80, 48,868.52 and 9,203.63

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Solution

The fourth proportional to 32,577.80, 48,868.52 and 9,203.63 is: 13,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.80 : 48,868.52 = 9,203.63 : x
  2. Step 2: Convert to fraction form
    32,577.80/48,868.52 = 9,203.63/x
  3. Step 3: Cross multiply
    32,577.80x = 48,868.52 × 9,203.63
  4. Step 4: Simplify right side
    32,577.80x = 449,767,486.37
  5. Step 5: Solve for x
    x = 449,767,486.37/32,577.80
  6. Step 6: Final answer
    x = 13,805.95

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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.