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Finding the Fourth Proportional to 76,897.80, 115,325.10 and 24,323.40

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Solution

The fourth proportional to 76,897.80, 115,325.10 and 24,323.40 is: 36,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,897.80 : 115,325.10 = 24,323.40 : x
  2. Step 2: Convert to fraction form
    76,897.80/115,325.10 = 24,323.40/x
  3. Step 3: Cross multiply
    76,897.80x = 115,325.10 × 24,323.40
  4. Step 4: Simplify right side
    76,897.80x = 2,805,098,537.34
  5. Step 5: Solve for x
    x = 2,805,098,537.34/76,897.80
  6. Step 6: Final answer
    x = 36,478.27

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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.