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Finding the Fourth Proportional to 46,662.50, 64,394.26 and 29,895.50

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Solution

The fourth proportional to 46,662.50, 64,394.26 and 29,895.50 is: 41,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,662.50 : 64,394.26 = 29,895.50 : x
  2. Step 2: Convert to fraction form
    46,662.50/64,394.26 = 29,895.50/x
  3. Step 3: Cross multiply
    46,662.50x = 64,394.26 × 29,895.50
  4. Step 4: Simplify right side
    46,662.50x = 1,925,098,599.83
  5. Step 5: Solve for x
    x = 1,925,098,599.83/46,662.50
  6. Step 6: Final answer
    x = 41,255.80

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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.