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Finding the Fourth Proportional to 76,115.79, 105,048 and 44,302.23

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Solution

The fourth proportional to 76,115.79, 105,048 and 44,302.23 is: 61,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,115.79 : 105,048 = 44,302.23 : x
  2. Step 2: Convert to fraction form
    76,115.79/105,048 = 44,302.23/x
  3. Step 3: Cross multiply
    76,115.79x = 105,048 × 44,302.23
  4. Step 4: Simplify right side
    76,115.79x = 4,653,860,657.04
  5. Step 5: Solve for x
    x = 4,653,860,657.04/76,115.79
  6. Step 6: Final answer
    x = 61,141.86

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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.