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Finding the Fourth Proportional to 76,254, 105,205.32 and 46,027.85

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Solution

The fourth proportional to 76,254, 105,205.32 and 46,027.85 is: 63,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254 : 105,205.32 = 46,027.85 : x
  2. Step 2: Convert to fraction form
    76,254/105,205.32 = 46,027.85/x
  3. Step 3: Cross multiply
    76,254x = 105,205.32 × 46,027.85
  4. Step 4: Simplify right side
    76,254x = 4,842,374,162.14
  5. Step 5: Solve for x
    x = 4,842,374,162.14/76,254
  6. Step 6: Final answer
    x = 63,503.22

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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.