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Finding the Fourth Proportional to 106,960.32, 160,461.90 and 39,492.77

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Solution

The fourth proportional to 106,960.32, 160,461.90 and 39,492.77 is: 59,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960.32 : 160,461.90 = 39,492.77 : x
  2. Step 2: Convert to fraction form
    106,960.32/160,461.90 = 39,492.77/x
  3. Step 3: Cross multiply
    106,960.32x = 160,461.90 × 39,492.77
  4. Step 4: Simplify right side
    106,960.32x = 6,337,084,108.15
  5. Step 5: Solve for x
    x = 6,337,084,108.15/106,960.32
  6. Step 6: Final answer
    x = 59,247.06

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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.