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Finding the Fourth Proportional to 28,303.49, 42,451.88 and 9,583.49

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Solution

The fourth proportional to 28,303.49, 42,451.88 and 9,583.49 is: 14,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,303.49 : 42,451.88 = 9,583.49 : x
  2. Step 2: Convert to fraction form
    28,303.49/42,451.88 = 9,583.49/x
  3. Step 3: Cross multiply
    28,303.49x = 42,451.88 × 9,583.49
  4. Step 4: Simplify right side
    28,303.49x = 406,836,907.28
  5. Step 5: Solve for x
    x = 406,836,907.28/28,303.49
  6. Step 6: Final answer
    x = 14,374.09

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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.