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Finding the Fourth Proportional to 109,719.68, 164,627.06 and 38,693.06

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Solution

The fourth proportional to 109,719.68, 164,627.06 and 38,693.06 is: 58,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719.68 : 164,627.06 = 38,693.06 : x
  2. Step 2: Convert to fraction form
    109,719.68/164,627.06 = 38,693.06/x
  3. Step 3: Cross multiply
    109,719.68x = 164,627.06 × 38,693.06
  4. Step 4: Simplify right side
    109,719.68x = 6,369,924,710.20
  5. Step 5: Solve for x
    x = 6,369,924,710.20/109,719.68
  6. Step 6: Final answer
    x = 58,056.36

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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.