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Finding the Fourth Proportional to 29,133, 43,695.78 and 9,409.50

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Solution

The fourth proportional to 29,133, 43,695.78 and 9,409.50 is: 14,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,133 : 43,695.78 = 9,409.50 : x
  2. Step 2: Convert to fraction form
    29,133/43,695.78 = 9,409.50/x
  3. Step 3: Cross multiply
    29,133x = 43,695.78 × 9,409.50
  4. Step 4: Simplify right side
    29,133x = 411,155,441.91
  5. Step 5: Solve for x
    x = 411,155,441.91/29,133
  6. Step 6: Final answer
    x = 14,113.05

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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.