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Finding the Fourth Proportional to 31,800.76, 47,467.79 and 29,455

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Solution

The fourth proportional to 31,800.76, 47,467.79 and 29,455 is: 43,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.76 : 47,467.79 = 29,455 : x
  2. Step 2: Convert to fraction form
    31,800.76/47,467.79 = 29,455/x
  3. Step 3: Cross multiply
    31,800.76x = 47,467.79 × 29,455
  4. Step 4: Simplify right side
    31,800.76x = 1,398,163,754.45
  5. Step 5: Solve for x
    x = 1,398,163,754.45/31,800.76
  6. Step 6: Final answer
    x = 43,966.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.