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Finding the Fourth Proportional to 25,435.50, 35,101.35 and 14,257.50

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Solution

The fourth proportional to 25,435.50, 35,101.35 and 14,257.50 is: 19,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.50 : 35,101.35 = 14,257.50 : x
  2. Step 2: Convert to fraction form
    25,435.50/35,101.35 = 14,257.50/x
  3. Step 3: Cross multiply
    25,435.50x = 35,101.35 × 14,257.50
  4. Step 4: Simplify right side
    25,435.50x = 500,457,497.63
  5. Step 5: Solve for x
    x = 500,457,497.63/25,435.50
  6. Step 6: Final answer
    x = 19,675.55

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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.