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Finding the Fourth Proportional to 105,495.54, 158,031.28 and 49,258.05

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Solution

The fourth proportional to 105,495.54, 158,031.28 and 49,258.05 is: 73,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,495.54 : 158,031.28 = 49,258.05 : x
  2. Step 2: Convert to fraction form
    105,495.54/158,031.28 = 49,258.05/x
  3. Step 3: Cross multiply
    105,495.54x = 158,031.28 × 49,258.05
  4. Step 4: Simplify right side
    105,495.54x = 7,784,312,691.80
  5. Step 5: Solve for x
    x = 7,784,312,691.80/105,495.54
  6. Step 6: Final answer
    x = 73,788.07

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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.