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Finding the Fourth Proportional to 76,914.94, 106,142.64 and 42,459.69

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Solution

The fourth proportional to 76,914.94, 106,142.64 and 42,459.69 is: 58,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,914.94 : 106,142.64 = 42,459.69 : x
  2. Step 2: Convert to fraction form
    76,914.94/106,142.64 = 42,459.69/x
  3. Step 3: Cross multiply
    76,914.94x = 106,142.64 × 42,459.69
  4. Step 4: Simplify right side
    76,914.94x = 4,506,783,590.18
  5. Step 5: Solve for x
    x = 4,506,783,590.18/76,914.94
  6. Step 6: Final answer
    x = 58,594.38

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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.