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Finding the Fourth Proportional to 76,070.19, 114,132.32 and 33,946.44

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Solution

The fourth proportional to 76,070.19, 114,132.32 and 33,946.44 is: 50,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,070.19 : 114,132.32 = 33,946.44 : x
  2. Step 2: Convert to fraction form
    76,070.19/114,132.32 = 33,946.44/x
  3. Step 3: Cross multiply
    76,070.19x = 114,132.32 × 33,946.44
  4. Step 4: Simplify right side
    76,070.19x = 3,874,385,952.94
  5. Step 5: Solve for x
    x = 3,874,385,952.94/76,070.19
  6. Step 6: Final answer
    x = 50,931.72

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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.