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Finding the Fourth Proportional to 99,577, 149,365.50 and 25,705

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Solution

The fourth proportional to 99,577, 149,365.50 and 25,705 is: 38,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,577 : 149,365.50 = 25,705 : x
  2. Step 2: Convert to fraction form
    99,577/149,365.50 = 25,705/x
  3. Step 3: Cross multiply
    99,577x = 149,365.50 × 25,705
  4. Step 4: Simplify right side
    99,577x = 3,839,440,177.50
  5. Step 5: Solve for x
    x = 3,839,440,177.50/99,577
  6. Step 6: Final answer
    x = 38,557.50

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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.