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Finding the Fourth Proportional to 29,455.60, 40,648.71 and 16,026.84

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Solution

The fourth proportional to 29,455.60, 40,648.71 and 16,026.84 is: 22,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,455.60 : 40,648.71 = 16,026.84 : x
  2. Step 2: Convert to fraction form
    29,455.60/40,648.71 = 16,026.84/x
  3. Step 3: Cross multiply
    29,455.60x = 40,648.71 × 16,026.84
  4. Step 4: Simplify right side
    29,455.60x = 651,470,371.38
  5. Step 5: Solve for x
    x = 651,470,371.38/29,455.60
  6. Step 6: Final answer
    x = 22,117.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.