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Finding the Fourth Proportional to 76,638.29, 105,770.04 and 46,422.72

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Solution

The fourth proportional to 76,638.29, 105,770.04 and 46,422.72 is: 64,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638.29 : 105,770.04 = 46,422.72 : x
  2. Step 2: Convert to fraction form
    76,638.29/105,770.04 = 46,422.72/x
  3. Step 3: Cross multiply
    76,638.29x = 105,770.04 × 46,422.72
  4. Step 4: Simplify right side
    76,638.29x = 4,910,133,389.82
  5. Step 5: Solve for x
    x = 4,910,133,389.82/76,638.29
  6. Step 6: Final answer
    x = 64,068.93

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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.