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Finding the Fourth Proportional to 31,002.36, 46,510.83 and 9,654

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Solution

The fourth proportional to 31,002.36, 46,510.83 and 9,654 is: 14,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.36 : 46,510.83 = 9,654 : x
  2. Step 2: Convert to fraction form
    31,002.36/46,510.83 = 9,654/x
  3. Step 3: Cross multiply
    31,002.36x = 46,510.83 × 9,654
  4. Step 4: Simplify right side
    31,002.36x = 449,015,552.82
  5. Step 5: Solve for x
    x = 449,015,552.82/31,002.36
  6. Step 6: Final answer
    x = 14,483.27

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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.