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Finding the Fourth Proportional to 31,061.50, 46,599.54 and 10,285

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Solution

The fourth proportional to 31,061.50, 46,599.54 and 10,285 is: 15,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.50 : 46,599.54 = 10,285 : x
  2. Step 2: Convert to fraction form
    31,061.50/46,599.54 = 10,285/x
  3. Step 3: Cross multiply
    31,061.50x = 46,599.54 × 10,285
  4. Step 4: Simplify right side
    31,061.50x = 479,276,268.90
  5. Step 5: Solve for x
    x = 479,276,268.90/31,061.50
  6. Step 6: Final answer
    x = 15,429.91

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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.