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Finding the Fourth Proportional to 106,795, 160,186.98 and 31,915.77

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Solution

The fourth proportional to 106,795, 160,186.98 and 31,915.77 is: 47,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,795 : 160,186.98 = 31,915.77 : x
  2. Step 2: Convert to fraction form
    106,795/160,186.98 = 31,915.77/x
  3. Step 3: Cross multiply
    106,795x = 160,186.98 × 31,915.77
  4. Step 4: Simplify right side
    106,795x = 5,112,490,810.67
  5. Step 5: Solve for x
    x = 5,112,490,810.67/106,795
  6. Step 6: Final answer
    x = 47,872.01

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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.