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Finding the Fourth Proportional to 46,472.80, 64,137.96 and 27,610

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Solution

The fourth proportional to 46,472.80, 64,137.96 and 27,610 is: 38,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472.80 : 64,137.96 = 27,610 : x
  2. Step 2: Convert to fraction form
    46,472.80/64,137.96 = 27,610/x
  3. Step 3: Cross multiply
    46,472.80x = 64,137.96 × 27,610
  4. Step 4: Simplify right side
    46,472.80x = 1,770,849,075.60
  5. Step 5: Solve for x
    x = 1,770,849,075.60/46,472.80
  6. Step 6: Final answer
    x = 38,105.07

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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.