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Finding the Fourth Proportional to 106,492.56, 146,959.32 and 58,748.88

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Solution

The fourth proportional to 106,492.56, 146,959.32 and 58,748.88 is: 81,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.56 : 146,959.32 = 58,748.88 : x
  2. Step 2: Convert to fraction form
    106,492.56/146,959.32 = 58,748.88/x
  3. Step 3: Cross multiply
    106,492.56x = 146,959.32 × 58,748.88
  4. Step 4: Simplify right side
    106,492.56x = 8,633,695,455.56
  5. Step 5: Solve for x
    x = 8,633,695,455.56/106,492.56
  6. Step 6: Final answer
    x = 81,073.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.