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Finding the Fourth Proportional to 73,141, 109,711.50 and 17,737

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Solution

The fourth proportional to 73,141, 109,711.50 and 17,737 is: 26,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,141 : 109,711.50 = 17,737 : x
  2. Step 2: Convert to fraction form
    73,141/109,711.50 = 17,737/x
  3. Step 3: Cross multiply
    73,141x = 109,711.50 × 17,737
  4. Step 4: Simplify right side
    73,141x = 1,945,952,875.50
  5. Step 5: Solve for x
    x = 1,945,952,875.50/73,141
  6. Step 6: Final answer
    x = 26,605.50

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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.