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Finding the Fourth Proportional to 82,644.64, 114,047.24 and 46,838

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Solution

The fourth proportional to 82,644.64, 114,047.24 and 46,838 is: 64,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,644.64 : 114,047.24 = 46,838 : x
  2. Step 2: Convert to fraction form
    82,644.64/114,047.24 = 46,838/x
  3. Step 3: Cross multiply
    82,644.64x = 114,047.24 × 46,838
  4. Step 4: Simplify right side
    82,644.64x = 5,341,744,627.12
  5. Step 5: Solve for x
    x = 5,341,744,627.12/82,644.64
  6. Step 6: Final answer
    x = 64,635.10

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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.