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Finding the Fourth Proportional to 83,937, 125,905.50 and 28,533

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Solution

The fourth proportional to 83,937, 125,905.50 and 28,533 is: 42,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,937 : 125,905.50 = 28,533 : x
  2. Step 2: Convert to fraction form
    83,937/125,905.50 = 28,533/x
  3. Step 3: Cross multiply
    83,937x = 125,905.50 × 28,533
  4. Step 4: Simplify right side
    83,937x = 3,592,461,631.50
  5. Step 5: Solve for x
    x = 3,592,461,631.50/83,937
  6. Step 6: Final answer
    x = 42,799.50

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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.