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Finding the Fourth Proportional to 67,821.64, 93,544.02 and 46,601.80

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Solution

The fourth proportional to 67,821.64, 93,544.02 and 46,601.80 is: 64,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,821.64 : 93,544.02 = 46,601.80 : x
  2. Step 2: Convert to fraction form
    67,821.64/93,544.02 = 46,601.80/x
  3. Step 3: Cross multiply
    67,821.64x = 93,544.02 × 46,601.80
  4. Step 4: Simplify right side
    67,821.64x = 4,359,319,711.24
  5. Step 5: Solve for x
    x = 4,359,319,711.24/67,821.64
  6. Step 6: Final answer
    x = 64,276.24

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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.