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Finding the Fourth Proportional to 52,457.80, 78,686.70 and 50,416.60

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Solution

The fourth proportional to 52,457.80, 78,686.70 and 50,416.60 is: 75,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457.80 : 78,686.70 = 50,416.60 : x
  2. Step 2: Convert to fraction form
    52,457.80/78,686.70 = 50,416.60/x
  3. Step 3: Cross multiply
    52,457.80x = 78,686.70 × 50,416.60
  4. Step 4: Simplify right side
    52,457.80x = 3,967,115,879.22
  5. Step 5: Solve for x
    x = 3,967,115,879.22/52,457.80
  6. Step 6: Final answer
    x = 75,624.90

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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.