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Finding the Fourth Proportional to 78,267, 108,008.46 and 44,733.72

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Solution

The fourth proportional to 78,267, 108,008.46 and 44,733.72 is: 61,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,267 : 108,008.46 = 44,733.72 : x
  2. Step 2: Convert to fraction form
    78,267/108,008.46 = 44,733.72/x
  3. Step 3: Cross multiply
    78,267x = 108,008.46 × 44,733.72
  4. Step 4: Simplify right side
    78,267x = 4,831,620,207.27
  5. Step 5: Solve for x
    x = 4,831,620,207.27/78,267
  6. Step 6: Final answer
    x = 61,732.53

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1.5x scale

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.