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Finding the Fourth Proportional to 84,369.18, 116,424.90 and 46,641

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Solution

The fourth proportional to 84,369.18, 116,424.90 and 46,641 is: 64,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,369.18 : 116,424.90 = 46,641 : x
  2. Step 2: Convert to fraction form
    84,369.18/116,424.90 = 46,641/x
  3. Step 3: Cross multiply
    84,369.18x = 116,424.90 × 46,641
  4. Step 4: Simplify right side
    84,369.18x = 5,430,173,760.90
  5. Step 5: Solve for x
    x = 5,430,173,760.90/84,369.18
  6. Step 6: Final answer
    x = 64,362.05

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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.