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Finding the Fourth Proportional to 45,881.70, 63,319.80 and 25,740

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Solution

The fourth proportional to 45,881.70, 63,319.80 and 25,740 is: 35,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,881.70 : 63,319.80 = 25,740 : x
  2. Step 2: Convert to fraction form
    45,881.70/63,319.80 = 25,740/x
  3. Step 3: Cross multiply
    45,881.70x = 63,319.80 × 25,740
  4. Step 4: Simplify right side
    45,881.70x = 1,629,851,652
  5. Step 5: Solve for x
    x = 1,629,851,652/45,881.70
  6. Step 6: Final answer
    x = 35,522.91

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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.