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Finding the Fourth Proportional to 103,577, 155,365.50 and 25,753

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Solution

The fourth proportional to 103,577, 155,365.50 and 25,753 is: 38,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,577 : 155,365.50 = 25,753 : x
  2. Step 2: Convert to fraction form
    103,577/155,365.50 = 25,753/x
  3. Step 3: Cross multiply
    103,577x = 155,365.50 × 25,753
  4. Step 4: Simplify right side
    103,577x = 4,001,127,721.50
  5. Step 5: Solve for x
    x = 4,001,127,721.50/103,577
  6. Step 6: Final answer
    x = 38,629.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.