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Finding the Fourth Proportional to 76,846.50, 106,048.17 and 43,312.50

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Solution

The fourth proportional to 76,846.50, 106,048.17 and 43,312.50 is: 59,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,846.50 : 106,048.17 = 43,312.50 : x
  2. Step 2: Convert to fraction form
    76,846.50/106,048.17 = 43,312.50/x
  3. Step 3: Cross multiply
    76,846.50x = 106,048.17 × 43,312.50
  4. Step 4: Simplify right side
    76,846.50x = 4,593,211,363.13
  5. Step 5: Solve for x
    x = 4,593,211,363.13/76,846.50
  6. Step 6: Final answer
    x = 59,771.25

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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.