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Finding the Fourth Proportional to 29,312.28, 43,973.82 and 9,591.93

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Solution

The fourth proportional to 29,312.28, 43,973.82 and 9,591.93 is: 14,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312.28 : 43,973.82 = 9,591.93 : x
  2. Step 2: Convert to fraction form
    29,312.28/43,973.82 = 9,591.93/x
  3. Step 3: Cross multiply
    29,312.28x = 43,973.82 × 9,591.93
  4. Step 4: Simplify right side
    29,312.28x = 421,793,803.27
  5. Step 5: Solve for x
    x = 421,793,803.27/29,312.28
  6. Step 6: Final answer
    x = 14,389.66

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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.