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Finding the Fourth Proportional to 74,654, 103,024.68 and 41,122.16

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Solution

The fourth proportional to 74,654, 103,024.68 and 41,122.16 is: 56,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,654 : 103,024.68 = 41,122.16 : x
  2. Step 2: Convert to fraction form
    74,654/103,024.68 = 41,122.16/x
  3. Step 3: Cross multiply
    74,654x = 103,024.68 × 41,122.16
  4. Step 4: Simplify right side
    74,654x = 4,236,597,374.91
  5. Step 5: Solve for x
    x = 4,236,597,374.91/74,654
  6. Step 6: Final answer
    x = 56,749.77

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1.5x scale

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.