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Finding the Fourth Proportional to 76,812.36, 106,001.49 and 42,823

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Solution

The fourth proportional to 76,812.36, 106,001.49 and 42,823 is: 59,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,812.36 : 106,001.49 = 42,823 : x
  2. Step 2: Convert to fraction form
    76,812.36/106,001.49 = 42,823/x
  3. Step 3: Cross multiply
    76,812.36x = 106,001.49 × 42,823
  4. Step 4: Simplify right side
    76,812.36x = 4,539,301,806.27
  5. Step 5: Solve for x
    x = 4,539,301,806.27/76,812.36
  6. Step 6: Final answer
    x = 59,095.98

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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.