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Finding the Fourth Proportional to 29,133.04, 43,701.20 and 8,356

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Solution

The fourth proportional to 29,133.04, 43,701.20 and 8,356 is: 12,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,133.04 : 43,701.20 = 8,356 : x
  2. Step 2: Convert to fraction form
    29,133.04/43,701.20 = 8,356/x
  3. Step 3: Cross multiply
    29,133.04x = 43,701.20 × 8,356
  4. Step 4: Simplify right side
    29,133.04x = 365,167,227.20
  5. Step 5: Solve for x
    x = 365,167,227.20/29,133.04
  6. Step 6: Final answer
    x = 12,534.47

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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.