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Finding the Fourth Proportional to 83,129.88, 114,715.92 and 46,830.48

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Solution

The fourth proportional to 83,129.88, 114,715.92 and 46,830.48 is: 64,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.88 : 114,715.92 = 46,830.48 : x
  2. Step 2: Convert to fraction form
    83,129.88/114,715.92 = 46,830.48/x
  3. Step 3: Cross multiply
    83,129.88x = 114,715.92 × 46,830.48
  4. Step 4: Simplify right side
    83,129.88x = 5,372,201,597.24
  5. Step 5: Solve for x
    x = 5,372,201,597.24/83,129.88
  6. Step 6: Final answer
    x = 64,624.20

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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.