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Finding the Fourth Proportional to 28,599, 42,901.50 and 7,822.50

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Solution

The fourth proportional to 28,599, 42,901.50 and 7,822.50 is: 11,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,599 : 42,901.50 = 7,822.50 : x
  2. Step 2: Convert to fraction form
    28,599/42,901.50 = 7,822.50/x
  3. Step 3: Cross multiply
    28,599x = 42,901.50 × 7,822.50
  4. Step 4: Simplify right side
    28,599x = 335,596,983.75
  5. Step 5: Solve for x
    x = 335,596,983.75/28,599
  6. Step 6: Final answer
    x = 11,734.57

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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.