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Finding the Fourth Proportional to 102,507.50, 153,787.17 and 28,635.50

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Solution

The fourth proportional to 102,507.50, 153,787.17 and 28,635.50 is: 42,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.50 : 153,787.17 = 28,635.50 : x
  2. Step 2: Convert to fraction form
    102,507.50/153,787.17 = 28,635.50/x
  3. Step 3: Cross multiply
    102,507.50x = 153,787.17 × 28,635.50
  4. Step 4: Simplify right side
    102,507.50x = 4,403,772,506.54
  5. Step 5: Solve for x
    x = 4,403,772,506.54/102,507.50
  6. Step 6: Final answer
    x = 42,960.49

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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.