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Finding the Fourth Proportional to 84,627.94, 116,784.56 and 46,901.38

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Solution

The fourth proportional to 84,627.94, 116,784.56 and 46,901.38 is: 64,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,627.94 : 116,784.56 = 46,901.38 : x
  2. Step 2: Convert to fraction form
    84,627.94/116,784.56 = 46,901.38/x
  3. Step 3: Cross multiply
    84,627.94x = 116,784.56 × 46,901.38
  4. Step 4: Simplify right side
    84,627.94x = 5,477,357,026.69
  5. Step 5: Solve for x
    x = 5,477,357,026.69/84,627.94
  6. Step 6: Final answer
    x = 64,722.80

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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.