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Finding the Fourth Proportional to 46,753.62, 64,477.26 and 36,546

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Solution

The fourth proportional to 46,753.62, 64,477.26 and 36,546 is: 50,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,753.62 : 64,477.26 = 36,546 : x
  2. Step 2: Convert to fraction form
    46,753.62/64,477.26 = 36,546/x
  3. Step 3: Cross multiply
    46,753.62x = 64,477.26 × 36,546
  4. Step 4: Simplify right side
    46,753.62x = 2,356,385,943.96
  5. Step 5: Solve for x
    x = 2,356,385,943.96/46,753.62
  6. Step 6: Final answer
    x = 50,400.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.