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Finding the Fourth Proportional to 77,005.55, 106,267.65 and 46,800.61

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Solution

The fourth proportional to 77,005.55, 106,267.65 and 46,800.61 is: 64,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,005.55 : 106,267.65 = 46,800.61 : x
  2. Step 2: Convert to fraction form
    77,005.55/106,267.65 = 46,800.61/x
  3. Step 3: Cross multiply
    77,005.55x = 106,267.65 × 46,800.61
  4. Step 4: Simplify right side
    77,005.55x = 4,973,390,843.27
  5. Step 5: Solve for x
    x = 4,973,390,843.27/77,005.55
  6. Step 6: Final answer
    x = 64,584.84

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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.