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Finding the Fourth Proportional to 76,614, 114,959.88 and 35,071.44

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Solution

The fourth proportional to 76,614, 114,959.88 and 35,071.44 is: 52,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,614 : 114,959.88 = 35,071.44 : x
  2. Step 2: Convert to fraction form
    76,614/114,959.88 = 35,071.44/x
  3. Step 3: Cross multiply
    76,614x = 114,959.88 × 35,071.44
  4. Step 4: Simplify right side
    76,614x = 4,031,808,533.83
  5. Step 5: Solve for x
    x = 4,031,808,533.83/76,614
  6. Step 6: Final answer
    x = 52,624.96

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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.