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Finding the Fourth Proportional to 46,461.80, 69,341.57 and 41,977.77

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Solution

The fourth proportional to 46,461.80, 69,341.57 and 41,977.77 is: 62,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,461.80 : 69,341.57 = 41,977.77 : x
  2. Step 2: Convert to fraction form
    46,461.80/69,341.57 = 41,977.77/x
  3. Step 3: Cross multiply
    46,461.80x = 69,341.57 × 41,977.77
  4. Step 4: Simplify right side
    46,461.80x = 2,910,804,267.01
  5. Step 5: Solve for x
    x = 2,910,804,267.01/46,461.80
  6. Step 6: Final answer
    x = 62,649.41

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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.