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Finding the Fourth Proportional to 76,564.02, 105,630.34 and 46,338.33

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Solution

The fourth proportional to 76,564.02, 105,630.34 and 46,338.33 is: 63,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.02 : 105,630.34 = 46,338.33 : x
  2. Step 2: Convert to fraction form
    76,564.02/105,630.34 = 46,338.33/x
  3. Step 3: Cross multiply
    76,564.02x = 105,630.34 × 46,338.33
  4. Step 4: Simplify right side
    76,564.02x = 4,894,733,552.93
  5. Step 5: Solve for x
    x = 4,894,733,552.93/76,564.02
  6. Step 6: Final answer
    x = 63,929.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.