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Finding the Fourth Proportional to 51,459.74, 77,189.61 and 14,523.74

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Solution

The fourth proportional to 51,459.74, 77,189.61 and 14,523.74 is: 21,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,459.74 : 77,189.61 = 14,523.74 : x
  2. Step 2: Convert to fraction form
    51,459.74/77,189.61 = 14,523.74/x
  3. Step 3: Cross multiply
    51,459.74x = 77,189.61 × 14,523.74
  4. Step 4: Simplify right side
    51,459.74x = 1,121,081,826.34
  5. Step 5: Solve for x
    x = 1,121,081,826.34/51,459.74
  6. Step 6: Final answer
    x = 21,785.61

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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.