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Finding the Fourth Proportional to 77,132, 106,442.16 and 41,804

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Solution

The fourth proportional to 77,132, 106,442.16 and 41,804 is: 57,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,132 : 106,442.16 = 41,804 : x
  2. Step 2: Convert to fraction form
    77,132/106,442.16 = 41,804/x
  3. Step 3: Cross multiply
    77,132x = 106,442.16 × 41,804
  4. Step 4: Simplify right side
    77,132x = 4,449,708,056.64
  5. Step 5: Solve for x
    x = 4,449,708,056.64/77,132
  6. Step 6: Final answer
    x = 57,689.52

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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.