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Finding the Fourth Proportional to 31,763.01, 47,632.40 and 10,697.40

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Solution

The fourth proportional to 31,763.01, 47,632.40 and 10,697.40 is: 16,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763.01 : 47,632.40 = 10,697.40 : x
  2. Step 2: Convert to fraction form
    31,763.01/47,632.40 = 10,697.40/x
  3. Step 3: Cross multiply
    31,763.01x = 47,632.40 × 10,697.40
  4. Step 4: Simplify right side
    31,763.01x = 509,543,083.51
  5. Step 5: Solve for x
    x = 509,543,083.51/31,763.01
  6. Step 6: Final answer
    x = 16,042.03

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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.