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Finding the Fourth Proportional to 74,691, 103,075.74 and 41,159.16

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Solution

The fourth proportional to 74,691, 103,075.74 and 41,159.16 is: 56,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,691 : 103,075.74 = 41,159.16 : x
  2. Step 2: Convert to fraction form
    74,691/103,075.74 = 41,159.16/x
  3. Step 3: Cross multiply
    74,691x = 103,075.74 × 41,159.16
  4. Step 4: Simplify right side
    74,691x = 4,242,510,874.78
  5. Step 5: Solve for x
    x = 4,242,510,874.78/74,691
  6. Step 6: Final answer
    x = 56,800.83

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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.