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Finding the Fourth Proportional to 74,126.16, 102,292.21 and 41,420.84

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Solution

The fourth proportional to 74,126.16, 102,292.21 and 41,420.84 is: 57,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,126.16 : 102,292.21 = 41,420.84 : x
  2. Step 2: Convert to fraction form
    74,126.16/102,292.21 = 41,420.84/x
  3. Step 3: Cross multiply
    74,126.16x = 102,292.21 × 41,420.84
  4. Step 4: Simplify right side
    74,126.16x = 4,237,029,415.83
  5. Step 5: Solve for x
    x = 4,237,029,415.83/74,126.16
  6. Step 6: Final answer
    x = 57,159.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.