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Finding the Fourth Proportional to 74,296.59, 102,506.90 and 45,586.77

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Solution

The fourth proportional to 74,296.59, 102,506.90 and 45,586.77 is: 62,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,296.59 : 102,506.90 = 45,586.77 : x
  2. Step 2: Convert to fraction form
    74,296.59/102,506.90 = 45,586.77/x
  3. Step 3: Cross multiply
    74,296.59x = 102,506.90 × 45,586.77
  4. Step 4: Simplify right side
    74,296.59x = 4,672,958,245.78
  5. Step 5: Solve for x
    x = 4,672,958,245.78/74,296.59
  6. Step 6: Final answer
    x = 62,896.00

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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.