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Finding the Fourth Proportional to 28,577.40, 42,870.12 and 8,857.48

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Solution

The fourth proportional to 28,577.40, 42,870.12 and 8,857.48 is: 13,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.40 : 42,870.12 = 8,857.48 : x
  2. Step 2: Convert to fraction form
    28,577.40/42,870.12 = 8,857.48/x
  3. Step 3: Cross multiply
    28,577.40x = 42,870.12 × 8,857.48
  4. Step 4: Simplify right side
    28,577.40x = 379,721,230.50
  5. Step 5: Solve for x
    x = 379,721,230.50/28,577.40
  6. Step 6: Final answer
    x = 13,287.47

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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.