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Finding the Fourth Proportional to 74,580, 102,922.02 and 41,046

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Solution

The fourth proportional to 74,580, 102,922.02 and 41,046 is: 56,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,580 : 102,922.02 = 41,046 : x
  2. Step 2: Convert to fraction form
    74,580/102,922.02 = 41,046/x
  3. Step 3: Cross multiply
    74,580x = 102,922.02 × 41,046
  4. Step 4: Simplify right side
    74,580x = 4,224,537,232.92
  5. Step 5: Solve for x
    x = 4,224,537,232.92/74,580
  6. Step 6: Final answer
    x = 56,644.37

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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.