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Finding the Fourth Proportional to 46,737, 70,105.50 and 13,905

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Solution

The fourth proportional to 46,737, 70,105.50 and 13,905 is: 20,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 70,105.50 = 13,905 : x
  2. Step 2: Convert to fraction form
    46,737/70,105.50 = 13,905/x
  3. Step 3: Cross multiply
    46,737x = 70,105.50 × 13,905
  4. Step 4: Simplify right side
    46,737x = 974,816,977.50
  5. Step 5: Solve for x
    x = 974,816,977.50/46,737
  6. Step 6: Final answer
    x = 20,857.50

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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.