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Finding the Fourth Proportional to 77,358.68, 106,755.16 and 43,824.68

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Solution

The fourth proportional to 77,358.68, 106,755.16 and 43,824.68 is: 60,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,358.68 : 106,755.16 = 43,824.68 : x
  2. Step 2: Convert to fraction form
    77,358.68/106,755.16 = 43,824.68/x
  3. Step 3: Cross multiply
    77,358.68x = 106,755.16 × 43,824.68
  4. Step 4: Simplify right side
    77,358.68x = 4,678,510,725.35
  5. Step 5: Solve for x
    x = 4,678,510,725.35/77,358.68
  6. Step 6: Final answer
    x = 60,478.16

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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.