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Finding the Fourth Proportional to 46,101.78, 63,623.61 and 25,960.50

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Solution

The fourth proportional to 46,101.78, 63,623.61 and 25,960.50 is: 35,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,101.78 : 63,623.61 = 25,960.50 : x
  2. Step 2: Convert to fraction form
    46,101.78/63,623.61 = 25,960.50/x
  3. Step 3: Cross multiply
    46,101.78x = 63,623.61 × 25,960.50
  4. Step 4: Simplify right side
    46,101.78x = 1,651,700,727.41
  5. Step 5: Solve for x
    x = 1,651,700,727.41/46,101.78
  6. Step 6: Final answer
    x = 35,827.27

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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.