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Finding the Fourth Proportional to 70,970.78, 106,226.48 and 52,246.82

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Solution

The fourth proportional to 70,970.78, 106,226.48 and 52,246.82 is: 78,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.78 : 106,226.48 = 52,246.82 : x
  2. Step 2: Convert to fraction form
    70,970.78/106,226.48 = 52,246.82/x
  3. Step 3: Cross multiply
    70,970.78x = 106,226.48 × 52,246.82
  4. Step 4: Simplify right side
    70,970.78x = 5,549,995,779.79
  5. Step 5: Solve for x
    x = 5,549,995,779.79/70,970.78
  6. Step 6: Final answer
    x = 78,201.14

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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.