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Finding the Fourth Proportional to 61,284, 84,606.48 and 46,354.08

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Solution

The fourth proportional to 61,284, 84,606.48 and 46,354.08 is: 63,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,284 : 84,606.48 = 46,354.08 : x
  2. Step 2: Convert to fraction form
    61,284/84,606.48 = 46,354.08/x
  3. Step 3: Cross multiply
    61,284x = 84,606.48 × 46,354.08
  4. Step 4: Simplify right side
    61,284x = 3,921,855,542.44
  5. Step 5: Solve for x
    x = 3,921,855,542.44/61,284
  6. Step 6: Final answer
    x = 63,994.77

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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.