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Finding the Fourth Proportional to 31,762.53, 47,645.78 and 10,700.82

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Solution

The fourth proportional to 31,762.53, 47,645.78 and 10,700.82 is: 16,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.53 : 47,645.78 = 10,700.82 : x
  2. Step 2: Convert to fraction form
    31,762.53/47,645.78 = 10,700.82/x
  3. Step 3: Cross multiply
    31,762.53x = 47,645.78 × 10,700.82
  4. Step 4: Simplify right side
    31,762.53x = 509,848,862.04
  5. Step 5: Solve for x
    x = 509,848,862.04/31,762.53
  6. Step 6: Final answer
    x = 16,051.90

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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.