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Finding the Fourth Proportional to 29,133, 43,699.50 and 7,245

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Solution

The fourth proportional to 29,133, 43,699.50 and 7,245 is: 10,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,133 : 43,699.50 = 7,245 : x
  2. Step 2: Convert to fraction form
    29,133/43,699.50 = 7,245/x
  3. Step 3: Cross multiply
    29,133x = 43,699.50 × 7,245
  4. Step 4: Simplify right side
    29,133x = 316,602,877.50
  5. Step 5: Solve for x
    x = 316,602,877.50/29,133
  6. Step 6: Final answer
    x = 10,867.50

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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.