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Finding the Fourth Proportional to 46,047.87, 68,809.67 and 34,575

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Solution

The fourth proportional to 46,047.87, 68,809.67 and 34,575 is: 51,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,047.87 : 68,809.67 = 34,575 : x
  2. Step 2: Convert to fraction form
    46,047.87/68,809.67 = 34,575/x
  3. Step 3: Cross multiply
    46,047.87x = 68,809.67 × 34,575
  4. Step 4: Simplify right side
    46,047.87x = 2,379,094,340.25
  5. Step 5: Solve for x
    x = 2,379,094,340.25/46,047.87
  6. Step 6: Final answer
    x = 51,665.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.