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Finding the Fourth Proportional to 83,008, 114,551.04 and 53,200

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Solution

The fourth proportional to 83,008, 114,551.04 and 53,200 is: 73,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008 : 114,551.04 = 53,200 : x
  2. Step 2: Convert to fraction form
    83,008/114,551.04 = 53,200/x
  3. Step 3: Cross multiply
    83,008x = 114,551.04 × 53,200
  4. Step 4: Simplify right side
    83,008x = 6,094,115,328
  5. Step 5: Solve for x
    x = 6,094,115,328/83,008
  6. Step 6: Final answer
    x = 73,416

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.