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Finding the Fourth Proportional to 46,861.50, 64,668.87 and 25,641

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Solution

The fourth proportional to 46,861.50, 64,668.87 and 25,641 is: 35,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,861.50 : 64,668.87 = 25,641 : x
  2. Step 2: Convert to fraction form
    46,861.50/64,668.87 = 25,641/x
  3. Step 3: Cross multiply
    46,861.50x = 64,668.87 × 25,641
  4. Step 4: Simplify right side
    46,861.50x = 1,658,174,495.67
  5. Step 5: Solve for x
    x = 1,658,174,495.67/46,861.50
  6. Step 6: Final answer
    x = 35,384.58

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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.