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Finding the Fourth Proportional to 51,502.60, 77,239.02 and 23,407

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Solution

The fourth proportional to 51,502.60, 77,239.02 and 23,407 is: 35,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,502.60 : 77,239.02 = 23,407 : x
  2. Step 2: Convert to fraction form
    51,502.60/77,239.02 = 23,407/x
  3. Step 3: Cross multiply
    51,502.60x = 77,239.02 × 23,407
  4. Step 4: Simplify right side
    51,502.60x = 1,807,933,741.14
  5. Step 5: Solve for x
    x = 1,807,933,741.14/51,502.60
  6. Step 6: Final answer
    x = 35,103.74

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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.