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Finding the Fourth Proportional to 46,656.80, 64,447.84 and 34,581.76

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Solution

The fourth proportional to 46,656.80, 64,447.84 and 34,581.76 is: 47,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.80 : 64,447.84 = 34,581.76 : x
  2. Step 2: Convert to fraction form
    46,656.80/64,447.84 = 34,581.76/x
  3. Step 3: Cross multiply
    46,656.80x = 64,447.84 × 34,581.76
  4. Step 4: Simplify right side
    46,656.80x = 2,228,719,735.40
  5. Step 5: Solve for x
    x = 2,228,719,735.40/46,656.80
  6. Step 6: Final answer
    x = 47,768.38

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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.