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Finding the Fourth Proportional to 77,114.62, 115,671.93 and 27,168.40

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Solution

The fourth proportional to 77,114.62, 115,671.93 and 27,168.40 is: 40,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.62 : 115,671.93 = 27,168.40 : x
  2. Step 2: Convert to fraction form
    77,114.62/115,671.93 = 27,168.40/x
  3. Step 3: Cross multiply
    77,114.62x = 115,671.93 × 27,168.40
  4. Step 4: Simplify right side
    77,114.62x = 3,142,621,263.01
  5. Step 5: Solve for x
    x = 3,142,621,263.01/77,114.62
  6. Step 6: Final answer
    x = 40,752.60

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1.5x scale

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.