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Finding the Fourth Proportional to 29,461.50, 40,656.76 and 16,032.50

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Solution

The fourth proportional to 29,461.50, 40,656.76 and 16,032.50 is: 22,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.50 : 40,656.76 = 16,032.50 : x
  2. Step 2: Convert to fraction form
    29,461.50/40,656.76 = 16,032.50/x
  3. Step 3: Cross multiply
    29,461.50x = 40,656.76 × 16,032.50
  4. Step 4: Simplify right side
    29,461.50x = 651,829,504.70
  5. Step 5: Solve for x
    x = 651,829,504.70/29,461.50
  6. Step 6: Final answer
    x = 22,124.79

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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.