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Finding the Fourth Proportional to 30,802.29, 42,433.45 and 29,301.46

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Solution

The fourth proportional to 30,802.29, 42,433.45 and 29,301.46 is: 40,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.29 : 42,433.45 = 29,301.46 : x
  2. Step 2: Convert to fraction form
    30,802.29/42,433.45 = 29,301.46/x
  3. Step 3: Cross multiply
    30,802.29x = 42,433.45 × 29,301.46
  4. Step 4: Simplify right side
    30,802.29x = 1,243,361,858.50
  5. Step 5: Solve for x
    x = 1,243,361,858.50/30,802.29
  6. Step 6: Final answer
    x = 40,365.90

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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.