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Finding the Fourth Proportional to 23,549, 35,323.58 and 7,133

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Solution

The fourth proportional to 23,549, 35,323.58 and 7,133 is: 10,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549 : 35,323.58 = 7,133 : x
  2. Step 2: Convert to fraction form
    23,549/35,323.58 = 7,133/x
  3. Step 3: Cross multiply
    23,549x = 35,323.58 × 7,133
  4. Step 4: Simplify right side
    23,549x = 251,963,096.14
  5. Step 5: Solve for x
    x = 251,963,096.14/23,549
  6. Step 6: Final answer
    x = 10,699.52

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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.