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Finding the Fourth Proportional to 106,497.51, 159,718.90 and 31,599.93

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Solution

The fourth proportional to 106,497.51, 159,718.90 and 31,599.93 is: 47,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,497.51 : 159,718.90 = 31,599.93 : x
  2. Step 2: Convert to fraction form
    106,497.51/159,718.90 = 31,599.93/x
  3. Step 3: Cross multiply
    106,497.51x = 159,718.90 × 31,599.93
  4. Step 4: Simplify right side
    106,497.51x = 5,047,106,059.68
  5. Step 5: Solve for x
    x = 5,047,106,059.68/106,497.51
  6. Step 6: Final answer
    x = 47,391.78

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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.