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Finding the Fourth Proportional to 76,452.47, 114,675.02 and 25,848.12

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Solution

The fourth proportional to 76,452.47, 114,675.02 and 25,848.12 is: 38,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452.47 : 114,675.02 = 25,848.12 : x
  2. Step 2: Convert to fraction form
    76,452.47/114,675.02 = 25,848.12/x
  3. Step 3: Cross multiply
    76,452.47x = 114,675.02 × 25,848.12
  4. Step 4: Simplify right side
    76,452.47x = 2,964,133,677.96
  5. Step 5: Solve for x
    x = 2,964,133,677.96/76,452.47
  6. Step 6: Final answer
    x = 38,770.93

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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.