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Finding the Fourth Proportional to 74,658, 103,030.20 and 41,126.16

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Solution

The fourth proportional to 74,658, 103,030.20 and 41,126.16 is: 56,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,658 : 103,030.20 = 41,126.16 : x
  2. Step 2: Convert to fraction form
    74,658/103,030.20 = 41,126.16/x
  3. Step 3: Cross multiply
    74,658x = 103,030.20 × 41,126.16
  4. Step 4: Simplify right side
    74,658x = 4,237,236,490.03
  5. Step 5: Solve for x
    x = 4,237,236,490.03/74,658
  6. Step 6: Final answer
    x = 56,755.29

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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.