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Finding the Fourth Proportional to 97,817.76, 146,707.20 and 47,876.40

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Solution

The fourth proportional to 97,817.76, 146,707.20 and 47,876.40 is: 71,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,817.76 : 146,707.20 = 47,876.40 : x
  2. Step 2: Convert to fraction form
    97,817.76/146,707.20 = 47,876.40/x
  3. Step 3: Cross multiply
    97,817.76x = 146,707.20 × 47,876.40
  4. Step 4: Simplify right side
    97,817.76x = 7,023,812,590.08
  5. Step 5: Solve for x
    x = 7,023,812,590.08/97,817.76
  6. Step 6: Final answer
    x = 71,805.09

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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.