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Finding the Fourth Proportional to 97,709.20, 146,563.80 and 32,045.20

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Solution

The fourth proportional to 97,709.20, 146,563.80 and 32,045.20 is: 48,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,709.20 : 146,563.80 = 32,045.20 : x
  2. Step 2: Convert to fraction form
    97,709.20/146,563.80 = 32,045.20/x
  3. Step 3: Cross multiply
    97,709.20x = 146,563.80 × 32,045.20
  4. Step 4: Simplify right side
    97,709.20x = 4,696,666,283.76
  5. Step 5: Solve for x
    x = 4,696,666,283.76/97,709.20
  6. Step 6: Final answer
    x = 48,067.80

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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.