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Finding the Fourth Proportional to 23,957.46, 35,937.54 and 7,320.06

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Solution

The fourth proportional to 23,957.46, 35,937.54 and 7,320.06 is: 10,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.46 : 35,937.54 = 7,320.06 : x
  2. Step 2: Convert to fraction form
    23,957.46/35,937.54 = 7,320.06/x
  3. Step 3: Cross multiply
    23,957.46x = 35,937.54 × 7,320.06
  4. Step 4: Simplify right side
    23,957.46x = 263,064,949.05
  5. Step 5: Solve for x
    x = 263,064,949.05/23,957.46
  6. Step 6: Final answer
    x = 10,980.50

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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.