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Finding the Fourth Proportional to 84,447.76, 116,533.08 and 46,719.76

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Solution

The fourth proportional to 84,447.76, 116,533.08 and 46,719.76 is: 64,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,447.76 : 116,533.08 = 46,719.76 : x
  2. Step 2: Convert to fraction form
    84,447.76/116,533.08 = 46,719.76/x
  3. Step 3: Cross multiply
    84,447.76x = 116,533.08 × 46,719.76
  4. Step 4: Simplify right side
    84,447.76x = 5,444,397,529.66
  5. Step 5: Solve for x
    x = 5,444,397,529.66/84,447.76
  6. Step 6: Final answer
    x = 64,470.60

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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.