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Finding the Fourth Proportional to 65,041.65, 97,573.41 and 20,664.99

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Solution

The fourth proportional to 65,041.65, 97,573.41 and 20,664.99 is: 31,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,041.65 : 97,573.41 = 20,664.99 : x
  2. Step 2: Convert to fraction form
    65,041.65/97,573.41 = 20,664.99/x
  3. Step 3: Cross multiply
    65,041.65x = 97,573.41 × 20,664.99
  4. Step 4: Simplify right side
    65,041.65x = 2,016,353,541.92
  5. Step 5: Solve for x
    x = 2,016,353,541.92/65,041.65
  6. Step 6: Final answer
    x = 31,000.96

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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.