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Finding the Fourth Proportional to 70,031.30, 104,959.35 and 34,980.74

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Solution

The fourth proportional to 70,031.30, 104,959.35 and 34,980.74 is: 52,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.30 : 104,959.35 = 34,980.74 : x
  2. Step 2: Convert to fraction form
    70,031.30/104,959.35 = 34,980.74/x
  3. Step 3: Cross multiply
    70,031.30x = 104,959.35 × 34,980.74
  4. Step 4: Simplify right side
    70,031.30x = 3,671,555,732.92
  5. Step 5: Solve for x
    x = 3,671,555,732.92/70,031.30
  6. Step 6: Final answer
    x = 52,427.35

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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.