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Finding the Fourth Proportional to 31,829.76, 47,511 and 29,484

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Solution

The fourth proportional to 31,829.76, 47,511 and 29,484 is: 44,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,829.76 : 47,511 = 29,484 : x
  2. Step 2: Convert to fraction form
    31,829.76/47,511 = 29,484/x
  3. Step 3: Cross multiply
    31,829.76x = 47,511 × 29,484
  4. Step 4: Simplify right side
    31,829.76x = 1,400,814,324
  5. Step 5: Solve for x
    x = 1,400,814,324/31,829.76
  6. Step 6: Final answer
    x = 44,009.58

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Why These Related Problems?

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